Question

This year a $60,000 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 (in dollars)?

a. Winner: $30,000, Runner-up: $10,000
b. Winner: $45,000, Runner-up: $15,000
c. Winner: $40,000, Runner-up: $20,000
d. Winner: $36,000, Runner-up: $12,000

Answer 1

The runner-up will receive $15,000, and the winner will receive $45,000.

Step-by-step explanation:

To find out how much each contestant will receive, we need to set up an equation. Let's say the runner-up receives x dollars. According to the problem statement, the winner will receive three times as much, so the winner will receive 3x dollars. The total amount of the scholarship is $60,000, so the equation is x + 3x = $60,000. Simplifying this equation, we get 4x = $60,000. Dividing both sides of the equation by 4, we find that x = $15,000. Therefore, the runner-up will receive $15,000, and the winner will receive 3 times that, which is $45,000. So, the correct answer is option b. Winner: $45,000, Runner-up: $15,000.