You are the administrator of an annual essay contest scholarship fund. This year a $90,000 college scholarship is being divided between the top two contestants so that the winner receives five times as much as the runner-up. How much will each contestant receive (in dollars) ?

runner-up amount:

winner amount:

Question

Mathematics

Anna Sanders

27 May, 18:41

You are the administrator of an annual essay contest scholarship fund. This year a $90,000 college scholarship is being divided between the top two contestants so that the winner receives five times as much as the runner-up. How much will each contestant receive (in dollars) ?

runner-up amount:

winner amount:

+4

Answers (1)

Know the Answer?

Alfred Washington · Answer 1

Runner-up: $15,000

Winner: $75,000

Step-by-step explanation:

Let's create an equation for this problem.

Let x=the amount the runner-up receives

Let 5x=the amount the winner receives

Then,

x+5x=90,000

6x=90,000

x=15,000

5x=75,000