Question

Jared made 12 3/4 cups of snack mix for a party.His guests eat 2/3 of the mix.How manysnack mix did his guest eat?

Answer 1

Answer:

The number of snacks did Jared's guest eat is $12\frac{1}{12}$

Step-by-step explanation:

Given that Jared made $12\frac{3}{4}$ cups of snack mix for a party.

Let x be the cups of snacks mix made by Jared.

Therefore  $x=12\frac{3}{4}$

His guests eat $\frac{2}{3}$ of the mix.

Let y be the guest eated snacks mix

Therefore $y=\frac{2}{3}$

To find how many snack mix did his guest eat :

Let z be the number of snacks did Jared's guest eat

Therefore z=x-y

$z=12\frac{3}{4}-\frac{2}{3}$

$=\frac{51}{4}-\frac{2}{3}$

$=\frac{51(3)-2(4)}{4\times 3}$

$=\frac{153-8}{12}$

$=\frac{145}{12}$

$=12\frac{1}{12}$

Therefore $z=12\frac{1}{12}$

Therefore the number of snacks did Jared's guest eat is $12\frac{1}{12}$