Problema Solution
You are the administrator of an annual essay contest scholarship fund. This year a $48,000 college scholarship is being divided between the top two contestants so that the winner receives three times as much as the runner-up. How much will each contestant receive
Answer provided by our tutors
Let
w = the amount that the winner receives
r = the amount that the runner-up receives
A $48,000 college scholarship is being divided between the top two contestants:
w + r = 48000
The winner receives three times as much as the runner-up:
w = 3r
We have the following system of equations:
w + r = 48000
w = 3r
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w = $36,000
r = $12,000
The winner will receive $36,000 while the runner-up will receive $12,000.