Question

Trey, Marco and Tina won a cash prize at a talent show. They decided to share the money evenly between them. When trey got home , he gave half of his money to his little sister for helping him practice. What fraction of the overall. prize money did trey keep for himself

Answer 1

`(1)/(6)` fraction of the total money.

Explanation:

Trey, Marco, and Tina won a cash prize at a talent show.

They decided to share the money evenly between them.

So, if the prize money is $x, then each of them gets
`(x)/(3)` amounts of money.

Now, Trey gives half of his money to his little sister.

So, his sister gets
`(x)/(3) * (1)/(2) = (x)/(6)` amounts of money.

Therefore, Trey keeps for himself
`(x)/(3) - (x)/(6) = (x)/(6)` amounts of money.

So, it is
`(1)/(6)` fraction of the total money. (Answer)