Question

A school is holding a talent show. A group of six friends entered the talent show and won the first place prize of $45, which they split evenly among the members in their group.

A different group of four friends entered the talent show and won the second place prize of $35, which they split evenly among the members in their group.
In which group did the individual members receive a larger fraction of the prize money?

Answer 1

In the second group the individual members received a larger fraction of the prize money

Explanation:

Division by Sharing

A certain amount M can be evenly split among n parties by performing a division M/n.

The first group of six friends earned $45 and they split it evenly, i.e. the same amount goes to each member. Each of them received $45/6= $7.50 apiece.

The second group of four friends won the second-place prize of $35 and they split it evenly also. Each member received $35/4=$8.75.

By comparing both numbers, we see that 8.75 is a bigger fraction of 35 that 7.50 is of 45. Each member from the second-place price will receive more money than the first group.

We can conclude in the second group the individual members received a larger fraction of the prize money