Question

Each participant must pay $14 to enter the race. Each runner will be given a T-shirt that cost race organizers $3.50. If the T-shirt was the only expense for the race organizers, which of the following expressions represents the proportion of the entry fee paid by each runner that would be donated to charity?

Answer 1

The total amount paid by each participant is $14, from which $3.5 will be used for the T-shirt. As that is the only expense, all the remaining money will be available to donate to charity.

`14-3.5=10.5`

Then, for each participant, $10.5 of the $14 paid will be donated to charity.

To find the proportion of the fee paid that would be donated we just need to divide those values:

`\frac{\text{Amount of money donated}}{\text{Total fee paid}}`
`(10.5)/(14)=(3)/(4)`

Then, 3/4 is the proportion of the entry fee paid that will be donated to charity.