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

Answer:

$\frac{1}{6}$ fraction of the total money.

Step-by-step 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 $\frac{x}{3}$ amounts of money.

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

So,  his sister gets $\frac{x}{3} \times \frac{1}{2} = \frac{x}{6}$ amounts of money.

Therefore, Trey keeps for himself $\frac{x}{3} - \frac{x}{6} = \frac{x}{6}$ amounts of money.

So, it is $\frac{1}{6}$ fraction of the total money. (Answer)