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Mathematicians In The House Please Help Me by Timijo(m): 5:37pm On Jul 22, 2014
1. You are given #67 and you are asked to divide between Peter, Musa and John such that Peter will have #10 more than Musa and Musa will have #18 more than John.

2. Musa donate 2% of his annual salary to community development in his locality and Sam donate 1% of his annual salary to the community. The total donation of both Musa's and Sam's is #24,000. If Musa makes #3000 more than Sam, how much is Musa annual salary?
Thanks for helping.
Re: Mathematicians In The House Please Help Me by hakunajay(m): 6:31pm On Jul 22, 2014
Number 1 answer... Peter will have 35naira, Musa will get 25naira while John gets 7naira.
Re: Mathematicians In The House Please Help Me by McWhillion(m): 6:34pm On Jul 22, 2014
1. Let Peter =P, Musa= M, John =J
P=M+10
M=J+18
Therefore(express P and M in terms of J),
P =J+18+10
P=J+28

And M=J+18…

P+M+J = #67
==(J+28)+(J+18)+j = #67
3J+#46 =#67
3J=#21
J=#7

J=#7,
M= #7+#18=#25
P= #7+#28=#35

John gets#7, Musa gets #25 and Peter gets #35

2. Musa’s donation =2% of his salary = 0.02M
Sam’s donation = 1% of his salary = 0.01S

Therefore, 0.02M + 0.01S = #24000
Also, M = #3000+S

Therefore,
0.02(#3000 + S) + 0.001S = #24000
#60 + 0.02S + 0.01S = #24000
0.03S = #23940
S= #798,000
M= #798,000+ #3000 =#801,000

Musa’s annual salary is #801,000

1 Like

Re: Mathematicians In The House Please Help Me by hakunajay(m): 6:44pm On Jul 22, 2014
McWhillion: 1. Let Peter =P, Musa= M, John =J
P=M+10
M=J+18
Therefore(express P and M in terms of J),
P =J+18+10
P=J+28
And M=J+18…
P+M+J = #67
==(J+28)+(J+18)+j = #67
3J+#46 =#67
3J=#21
J=#7
J=#7,
M= #7+#18=#25
P= #7+#28=#35
John gets#7, Musa gets #25 and Peter gets #35
2. Musa’s donation =2% of his salary = 0.02M
Sam’s donation = 1% of his salary = 0.01S
Therefore, 0.02M + 0.01S = #24000
Also, M = #3000+S
Therefore,
0.02(#3000 + S) + 0.001S = #24000
#60 + 0.02S + 0.01S = #24000
0.03S = #23940
S= #798,000
M= #798,000+ #3000 =#801,000
Musa’s annual salary is #801,000


Nice work... Exactly the answers i got.
Re: Mathematicians In The House Please Help Me by Timijo(m): 8:00pm On Jul 22, 2014
McWhillion: 1. Let Peter =P, Musa= M, John =J
P=M+10
M=J+18
Therefore(express P and M in terms of J),
P =J+18+10
P=J+28

And M=J+18…

P+M+J = #67
==(J+28)+(J+18)+j = #67
3J+#46 =#67
3J=#21
J=#7

J=#7,
M= #7+#18=#25
P= #7+#28=#35

John gets#7, Musa gets #25 and Peter gets #35

2. Musa’s donation =2% of his salary = 0.02M
Sam’s donation = 1% of his salary = 0.01S

Therefore, 0.02M + 0.01S = #24000
Also, M = #3000+S

Therefore,
0.02(#3000 + S) + 0.001S = #24000
#60 + 0.02S + 0.01S = #24000
0.03S = #23940
S= #798,000
M= #798,000+ #3000 =#801,000

Musa’s annual salary is #801,000
Thanks, I have understood it through your working, God bless you.
Pls look at this one for me: suppose you wish to rear domestic animal in your home and you intend to indentify an area which 24 yards fence, what are the dimension of the area that will allow maximum movement of the domestic animal within the surrounding.
Am thinking about 4 and 6.
Re: Mathematicians In The House Please Help Me by McWhillion(m): 8:33pm On Jul 22, 2014
Timijo: Thanks, I have understood it through your working, God bless you.
Pls look at this one for me: suppose you wish to rear domestic animal in your home and you intend to indentify an area which 24 yards fence, what are the dimension of the area that will allow maximum movement of the domestic animal within the surrounding.
Am thinking about 4 and 6.
YOU'RE WELCOME

The 24 yards fence reps the perimeter of the area.
For maximum movement, its preferable that the area should be a square.

The formula for the perimeter of a square is 4L..

Therefore,
4L = 24 yards
L = 6yards.

Therefore the area should be 6 yards by 6 yards.
*DO NOT CONFUSE AREA WITH PERIMETER.

1 Like

Re: Mathematicians In The House Please Help Me by Timijo(m): 8:43pm On Jul 22, 2014
McWhillion:
YOU'RE WELCOME

The 24 yards fence reps the perimeter of the area.
For maximum movement, its preferable that the area should be a square.

The formula for the perimeter of a square is 4L..

Therefore,
4L = 24 yards
L = 6yards.

Therefore the area should be 6 yards by 6 yards.
*DO NOT CONFUSE AREA WITH PERIMETER.
Thanks, I thought has much.

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