You are the administrator of an annual essay contest scholarship fund. This year a $84,000 college scholarship is being divided

Question

2 years ago

7

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)?

1 answer:

shutvik [7] · Answer 1 · 2023-03-10T01:13:01+03:00

The winner got $70,000 and the runner up got $14,000

Let the winner be represented by x and runner up by y

Data given;

This is a simple case of ratio i.e 1 : 5

<h3>Equation</h3>

$x = 5y\\84000 = 5y + y\\84000 = 6y\\y = 14000\\$

The runner up received $14000. let's use this data to find how much the winner got.

$x = 5y \\x = 5 * 14000\\x = 70000$

From the calculations above, the winner got $70,000 and the runner up got $14,000.

Learn more about ratios here;