Maths Guru on nairaland pls help with this question.
A factory worker is paid N269.50 in 7days working 11 hours a day. How much must be paid to him for 26days working 9hours a day. Your answers will be appreciated.

N819.00


thank me later

armadeo:
N819.00


thank me later

Thanks but how did you arrive at that answer? Please give a breakdown of the steps involved.

Ndejiko:


Thanks but how did you arrive at that answer? Please give a breakdown of the steps involved.

11 days × 7hrs = 77hrs.

77hrs = N269.50.

1Hr = 269.50÷ 77 =N 3.50/hr.



If he works 26days @ 9hrs..

= 234hrs.

@ N3.50/ hr....


3.50× 234 = N819.




Thank me now.

Ndejiko:


Thanks but how did you arrive at that answer? Please give a breakdown of the steps involved.

Man makes 269.50 naira in 7 days working 11 hours a day, that means he makes 269.50/7 naira/day working 11 hours. That's 38.5ngn/day.

If he works 11h and makes 38.5ngn/day,
Then working 9h will make him 38.5*9/11 = 31.5ngn/day.

For 26 days, he'll make 31.5*26=819ngn

Alternatively, you can do it this way.
M varies directly as D & H.
Where M is pay in naira, D is days and H is hours. The higher the number of days and hours, the more money he makes.

So, M = kDH where k is constant of proportionality.
k=M/DH
k = 269.5/(7 x 11)

How much will he make working 26 days and 9 hours?
M = k x 26 x 9
M = 269.5 x 26 x 9/(7 x 11)
M = 819ngn

armadeo:




77hrs = N269.50.

1Hr = 269.50÷ 77 =N 3.50/hr.



If he works 26days @ 9hrs..

= 234hrs.

@ N3.50/ hr....


3.50× 234 = N819.




Thank me now.

hrs can't be equal to Naira. Neither can 1 h be equal to N/h. Your answer is correct, but your solution step is inconsistent.

MathsChic:


hrs can't be equal to Naira. Neither can 1 h be equal to N/h. Your answer is correct, but your solution step is inconsistent.

please elaborate the inconsistency.


what i simply did was calcualate what the person earned per hr and used that to determine the wages for 26days @ 11hrs/day, which is what you did only i dont think the OP can follow your convoluted process.

armadeo:

11 days × 7hrs = 77hrs.
77hrs = N269.50.
1Hr = 269.50÷ 77 =N 3.50/hr.


If he works 26days @ 9hrs..
= 234hrs.
@ N3.50/ hr....

3.50× 234 = N819.



Thank me now.

Thanks am really grateful. God bless

armadeo:

11 days × 7hrs = 77hrs.
77hrs = N269.50.
1Hr = 269.50÷ 77 =N 3.50/hr.


If he works 26days @ 9hrs..
= 234hrs.
@ N3.50/ hr....

3.50× 234 = N819.



Thank me now.

Thanks for your input am grateful.

MathsChic:

Man makes 269.50 naira in 7 days working 11 hours a day, that means he makes 269.50/7 naira/day working 11 hours. That's 38.5ngn/day.

If he works 11h and makes 38.5ngn/day,
Then working 9h will make him 38.5*9/11 = 31.5ngn/day.

For 26 days, he'll make 31.5*26=819ngn

Thanks am grateful.

Ndejiko:



Thanks am grateful.

no problemo dude. happy to help.