Question

You are the administrator of an annual essay contest scholarship fund. This year a $80,000 college scholarship is being divided between the top two contestants so that the winner receives four times as much as the runner-up. How much will each contestant receive (in dollars)? runner-up amount : winner amount:

Answer 1

Answer:

Runner Up Amount=$16,000

Winner Amount=$64,000

Step-by-step explanation:

Amount of the college's scholarship=$80,000

The fund is being divided between the top two contestants so that the winner receives four times as much as the runner-up.

Therefore: we can say it is being divided into 5 parts where the winner gets 4 parts and the runner up gets 1 part, i.e in the ratio 4:1.

Runner Up Amount$=\dfrac{1}{5}X\ 80,000=\ 16000$

Winner Amount$=\dfrac{4}{5}X\ 80,000=\ 64000$

The winner gets $64,000 and the runner up gets $16,000.