SOLUTION: A twenty-kilogram bag of rice is consumed by m, number of boys in 10 days. When four more boys joined them, the same quantity of rice lasted only 8 days. If the rate if consumption

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Question 1133944: A twenty-kilogram bag of rice is consumed by m, number of boys in 10 days. When four more boys joined them, the same quantity of rice lasted only 8 days. If the rate if consumption is the same, find the value of m.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Rate of consumption is not the same. The rate of consumption of each boy is the same. (Assumption)

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A twenty-kilogram bag of rice is consumed by m, number of boys in 10 days.
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m%2Ar%2A10=1, consuming ONE (1) twenty-kilogram bag of rice; the rate is r for 1 boy.


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When four more boys joined them, the same quantity of rice lasted only 8 days.
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%28m%2B4%29r%2A8=1

This is the system of equations:
system%28mr%2A10=1%2C%28m%2B4%29r%2A8=1%29
Solve for the value of m.

mr%2A10=%28m%2B4%29r%2A8
10m=8%28m%2B4%29
highlight%28m=16%29