₦airaland Forum

kstadaura:
Here is another one for you and everyone:
A certain number of horses and an equal number of men are going to somewhere.Half of the owners are on their horses's back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 70, how many horses are there?

14 horses and 7 men walking.
I did not have any formular o. Just wisdom to know that the number of humans on the ground should be half the number of horses since half of the ow ers are ridding and the number of men in total equal the number of horses.

kstadaura:
A bird shooter was asked how many birds he had in the bag. He replied that there were all sparrows but six,all pegeons but six, and all ducks but six. How many birds he had in the bag in all?

cc:ebbybest,ksslib,teempakguy,llaykorn,horpeyemi18,delishpot,Engrczar, and others.

9..

This one is tricky for me. I will sampeem here and wait for others to decode it.

kstadaura:
A bird shooter was asked how many birds he had in the bag. He replied that there were all sparrows but six,all pegeons but six, and all ducks but six. How many birds he had in the bag in all?

cc:ebbybest,ksslib,teempakguy,llaykorn,horpeyemi18,delishpot,Engrczar, and others.

9 birds. 3 of each.

Oahray:
9 birds. 3 of each.

Ohh. Now I gorrit.

delishpot:
14 horses and 7 men walking.
I did not have any formular o. Just wisdom to know that the number of humans on the ground should be half the number of horses since half of the owners are ridding and the number of men in total equal the number of horses.

hmmm... Same answer here. A horse has twice as many legs as a man, and there are twice as many horses walking as there are walking men. So the ratio of horses legs to men legs is 4:1. Simply divide the total number of legs with the number of legs a man has. (70/2)

So the number of men would be = (1/5) × 35 = 7 men.

Number of horses would thus be 14.

I don't have your wisdom, so I had to solve it in my head

Oahray:
hmmm... Same answer here. A horse has twice as many legs as a man, and there are twice as many horses walking as there are walking men. So the ratio of horses legs to men legs is 4:1. Simply divide the total number of legs with the number of legs a man has. (70/2)

So the number of men would be = (1/5) × 35 = 7 men.

Number of horses would thus be 14.

I don't have your wisdom, so I had to solve it in my head

Thats good, its correct.

Oahray:
9 birds. 3 of each.

llaykorn:
9..

delishpot:
14 horses and 7 men walking.
I did not have any formular o. Just wisdom to know that the number of humans on the ground should be half the number of horses since half of the ow ers are ridding and the number of men in total equal the number of horses.

All correct.

In a forest 150 donkeys were caught, tagged with electronic markers,then released.A week later, 50 donkeys were captured in the same forest.Of these 50 donkeys, it was found that 5 had been tagged with the electronic markers.If the percentage of the tagged donkeys in the second sample approximates the percentage of tagged donkeys in the forest, and if no donkey had either left nor entered the forest over the preceding week, what is the approximate number of donkeys in the forest?

cc:
ebbybest,ksslib,teempakguy,llaykorn,horpeyemi18,delishpot,Engrczar,Oahray, and others.

kstadaura:
In a forest 150 donkeys were caught, tagged with electronic markers,then released.A week later, 50 donkeys were captured in the same forest.Of these 50 donkeys, it was found that 5 had been tagged with the electronic markers.If the percentage of the tagged donkeys in the second sample approximates the percentage of tagged donkeys in the forest, and if no donkey had either left nor entered the forest over the preceding week, what is the approximate number of donkeys in the forest?

cc:
ebbybest,ksslib,teempakguy,llaykorn,horpeyemi18,delishpot,Engrczar,Oahray, and others.

answer=1950

timonski:
answer=1950

wrong,How did you get 1950?

kstadaura:
wrong,How did you get 1950?

ok. Initial number of marked donkeys=x=150. Now, out of the the newly captured donkeys, 5 had already been marked.
So percent of already marked donkeys in the new sample is approximately equal to the percentage of marked donkeys. I.e
150/y * 100=5/50 * 100
=> y=(50/5)*(100/100)*150=1500
therefore number of donkeys =1500.

timonski:
ok. Initial number of marked donkeys=x=150. Now, out of the the newly captured donkeys, 5 had already been marked.
So percent of already marked donkeys in the new sample is approximately equal to the percentage of marked donkeys. I.e
150/y * 100=5/50 * 100
=> y=(50/5)*(100/100)*150=1500
therefore number of donkeys =1500.

Now u got it.

Another one, pls

A sum of 690 consists of a certain number of ten Naira notes twice as many five Naira notes three times as many one Naira notes.How many of each note are there?

cc:ebbybest,ksslib,teempakguy,llaykorn,horpeyemi18,delishpot,Engrczar,Oahray,timonski, and others.

kstadaura:
A bird shooter was asked how many birds he had in the bag. He replied that there were all sparrows but six,all pegeons but six, and all ducks but six. How many birds he had in the bag in all?

cc:ebbybest,ksslib,teempakguy,llaykorn,horpeyemi18,delishpot,Engrczar, and others.

sorry I'm late guys!

I saw this yesterday, but my battery was low. This morning, I saw some people have given answers. But no workings. Hmmmn.
So, maybe I should do that . . . let's get to it.

There are three birds in the bag.

Let the number of sparrows be x
Let the number of pigeons be y
Let the number of ducks be z
Let the total number of birds be t.

From question,

t = x + y + z . . . . 1

From question, there are x number of sparrows, as well as 6 of the other kinds.
The same is true for the duck and pigeon.
Hence,

t = x + 6 . . . . .2
t = y + 6 . . . . . .3
t = z + 6. . . . . . .4

eqn 2, 3, 4 are all equal to t and are therefore equal to one another.
Hence,

x + 6 = y + 6 = z + 6

Subtract 6 from all sides, and eureka.

x = y = z !

Hence, eqn 1 becomes

t = x + x + x since both y and z are equal to x.

t = 3x . . . . . 5

But t is equal to x + 6

Hence,

x + 6 = 3x

Collect like terms,

6 = 2x

Divide both sides, and finally,

x = 3.

Replace this in equation 5 and

t = 3(3)
t = 9

Woah . . . yeah, they were totally right.


Ah, I see timonski has solved the next question.
Op, be kind to mention me when another question is posted.

kstadaura:
A sum of 690 consists of a certain number of ten Naira notes twice as many five Naira notes three times as many one Naira notes.How many of each note are there?

noted.

Teempakguy:
sorry I'm late guys!

I saw this yesterday, but my battery was low. This morning, I saw some people have given answers. But no workings. Hmmmn.
So, maybe I should do that . . . let's get to it.

There are three birds in the bag.

Let the number of sparrows be x
Let the number of pigeons be y
Let the number of ducks be z
Let the total number of birds be t.

From question,

t = x + y + z . . . . 1

From question, there are x number of sparrows, as well as 6 of the other kinds.
The same is true for the duck and pigeon.
Hence,

t = x + 6 . . . . .2
t = y + 6 . . . . . .3
t = z + 6. . . . . . .4

eqn 2, 3, 4 are all equal to t and are therefore equal to one another.
Hence,

x + 6 = y + 6 = z + 6

Subtract 6 from all sides, and eureka.

x = y = z !

Hence, eqn 1 becomes

t = x + x + x since both y and z are equal to x.

t = 3x . . . . . 5

But t is equal to x + 6

Hence,

x + 6 = 3x

Collect like terms,

6 = 2x

Divide both sides, and finally,

x = 3.

Replace this in equation 5 and

t = 3(3)
t = 9

Woah . . . yeah, they were totally right.


Ah, I see timonski has solved the next question.
Op, be kind to mention me when another question is posted.

Ok teempakguy no problem. woow!!! This is Excellent.Am sure your teacher/lecturer use to give u extra mark, back in your school days.

Oahray:
hmmm... Same answer here. A horse has twice as many legs as a man, and there are twice as many horses walking as there are walking men. So the ratio of horses legs to men legs is 4:1. Simply divide the total number of legs with the number of legs a man has. (70/2)

So the number of men would be = (1/5) × 35 = 7 men.

Number of horses would thus be 14.

I don't have your wisdom, so I had to solve it in my head

Efico!

kstadaura:
In a forest 150 donkeys were caught, tagged with electronic markers,then released.A week later, 50 donkeys were captured in the same forest.Of these 50 donkeys, it was found that 5 had been tagged with the electronic markers.If the percentage of the tagged donkeys in the second sample approximates the percentage of tagged donkeys in the forest, and if no donkey had either left nor entered the forest over the preceding week, what is the approximate number of donkeys in the forest?

cc:
ebbybest,ksslib,teempakguy,llaykorn,horpeyemi18,delishpot,Engrczar,Oahray, and others.

3000 donkeys.


If 5% of all donkeys tagged were 150 that means 5% of 3000 is 150 so the foest has 3000 donkeys and out of them 150 are tagged which is 5% of the donkey poopulation.

Hope I gorrit.

timonski:
Another one, pls

.

delishpot:
3000 donkeys.


If 5% of all donkeys tagged were 150 that means 5% of 3000 is 150 so the foest has 3000 donkeys and out of them 150 are tagged which is 5% of the donkey poopulation.

Hope I gorrit.

NO.

kstadaura:
NO.

Haba! . Has anyone solved it yet? Let me see the answer

kstadaura:
Ok teempakguy no problem. woow!!! This is Excellent.Am sure your teacher/lecturer use to give u extra mark, back in your school days.

ironically, during my secondary school days, I sucked at maths. too much Nokia phone games.
I Wonder what happened.

kstadaura:
A sum of 690 consists of a certain number of ten Naira notes twice as many five Naira notes three times as many one Naira notes.How many of each note are there?
cc:ebbybest,ksslib,teempakguy,llaykorn,horpeyemi18,delishpot,Engrczar,Oahray,timonski, and others.

Let's do this!

Let the number of ten naira notes be x
Let the number of five naira notes be y
Let the number of one naira notes be z

Hence,

10 naira in x places plus 5 naira in y places plus 1 naira in z places. Equal 690.
Algebraically,

10x + 5y + z = 690 . . . . . 1

From the question, there are twice as many five naira notes for each ten naira and thrice as many one naira notes.

Hence,

y = 2x and z = 3x

Substituting these into the equation 1,

10x + 5(2x) + 3x = 690

10x + 10x + 3x = 690

23x = 690

x = 30

So there are 30 ten naira notes there.

y = 2x
y = 60

So there are 60 five naira notes there.

z = 3x
z = 90

So there are 90 five naira notes there.

kstadaura:
In a forest 150 donkeys were caught, tagged with electronic markers,then released.A week later, 50 donkeys were captured in the same forest.Of these 50 donkeys, it was found that 5 had been tagged with the electronic markers.If the percentage of the tagged donkeys in the second sample approximates the percentage of tagged donkeys in the forest, and if no donkey had either left nor entered the forest over the preceding week, what is the approximate number of donkeys in the forest?

cc:
ebbybest,ksslib,teempakguy,llaykorn,horpeyemi18,delishpot,Engrczar,Oahray, and others.

just seeing this mention. 150 is 10% of 1500.

Edit: oh... It's been answered.

delishpot:
Haba! . Has anyone solved it yet? Let me see the answer

has been solved by timonski, the correct answer is 1500.

Teempakguy:
ironically, during my secondary school days, I sucked at maths. too much Nokia phone games.
I Wonder what happened.



Let's do this!

Let the number of ten naira notes be x
Let the number of five naira notes be y
Let the number of one naira notes be z

Hence,

10 naira in x places plus 5 naira in y places plus 1 naira in z places. Equal 690.
Algebraically,

10x + 5y + z = 690 . . . . . 1

From the question, there are twice as many five naira notes for each ten naira and thrice as many one naira notes.

Hence,

y = 2x and z = 3x

Substituting these into the equation 1,

10x + 5(2x) + 3x = 690

10x + 10x + 3x = 690

23x = 690

x = 30

So there are 30 ten naira notes there.

y = 2x
y = 60

So there are 60 five naira notes there.

z = 3x
z = 90

So there are 90 five naira notes there.

Well done

kstadaura:
Well done

thanks.

Oahray:
hmmm... Same answer here. A horse has twice as many legs as a man, and there are twice as many horses walking as there are walking men. So the ratio of horses legs to men legs is 4:1. Simply divide the total number of legs with the number of legs a man has. (70/2)

So the number of men would be = (1/5) × 35 = 7 men.

Number of horses would thus be 14.

I don't have your wisdom, so I had to solve it in my head

I wanted to point out the fact that the op's question was an ambiguous one,but i just say make I leave am.

He said AN EQUAL number of men and horses are going somewhere. If the number of horses equals men,then how come we have 14horses but 7men?

Secondly,when he said "70legs walking on the ground" was he refereeing to just the number of men who aint on their horses back, or legs in general,be it that of a horse or man?

If he was referring to legs in general,then he shouldn't have repeated the word "walking" twice,because having done that,walking automatically now refers to just men not riding horses.. Some of us actually read in between the lines. Anyway,I await your response. I might be the wrong one here.

@Kstadaura... Na wetin make me kuku stop dey solve cos i no dey like am wen I solve something finish,only to discover it's not correct because there was an error somewhere not on my part. The other naira kobo problem was one. Solved and solved for 40,000...then you change am to 40kobo.. Kept solving for 40kobo and knew something was wrong. Scrolled back up only to see that youve modified it to 0.40kobo.. Which levels na?

Ksslib:
I wanted to point out the fact that the op's question was an ambiguous one,but i just say make I leave am.

He said AN EQUAL number of men and horses are going somewhere. If the number of horses equals men,then how come we have 14horses but 7men?

Secondly,when he said "70legs walking on the ground" was he refereeing to just the number of men who aint on their horses back, or legs in general,be it that of a horse or man?

If he was referring to legs in general,then he shouldn't have repeated the word "walking" twice,because having done that,walking automatically now refers to just men not riding horses.. Some of us actually read in between the lines. Anyway,I await your response. I might be the wrong one here.

sorry this is coming late.

em... I actually was aiming at getting the number of horses by getting the number of men walking. I focused on the number of human legs on the ground, as against horses. An equal number of men are on horse back, which brings the total number of men to 14, same as the number of horses (each man has a horse).

Oahray:
sorry this is coming late.

em... I actually was aiming at getting the number of horses by getting the number of men walking. I focused on the number of human legs on the ground, as against horses. An equal number of men are on horse back, which brings the total number of men to 14, same as the number of horses (each man has a horse).

I took same approach too;get number of horses by getting number of men walking first. I guess the error came from reading too much meaning into the word "walking". So much for reading in between the lines,and the Op sef, didn't help matters at all.

Thanks.