Answer :
Answer:
The number of snacks did Jared's guest eat is [tex]12\frac{1}{12}[/tex]
Step-by-step explanation:
Given that Jared made [tex]12\frac{3}{4}[/tex] cups of snack mix for a party.
Let x be the cups of snacks mix made by Jared.
Therefore [tex]x=12\frac{3}{4}[/tex]
His guests eat [tex]\frac{2}{3}[/tex] of the mix.
Let y be the guest eated snacks mix
Therefore [tex]y=\frac{2}{3}[/tex]
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
[tex]z=12\frac{3}{4}-\frac{2}{3}[/tex]
[tex]=\frac{51}{4}-\frac{2}{3}[/tex]
[tex]=\frac{51(3)-2(4)}{4\times 3}[/tex]
[tex]=\frac{153-8}{12}[/tex]
[tex]=\frac{145}{12}[/tex]
[tex]=12\frac{1}{12}[/tex]
Therefore [tex]z=12\frac{1}{12}[/tex]