Question

!QUICK! Garrett needs 3 gallons of fruit juice to make punch.

He already has 5/6 gallon of grape juice and 2/3 gallon of orange juice.

Drag amounts of juice that he can add to the juice he already has to make exactly 3 gallons

The Choices are 1/3 Gal and 1/6 Gal

Answer 1

Answer:

$\frac{1}{6}$ gallon

Step-by-step explanation:

Quantity of fruit juice needed by Garrett = 3 gallons

Quantity of grape juice with Garrett = $\frac{5}{6}$ gallon

Quantity of orange juice with Garrett = $\frac{2}{3}$ gallon

We need to find quantity of juice he can add to the juice he already has to make exactly 3 gallons of juice.

Quantity of juice he can add to the juice he already has to make exactly 3 gallons of juice = $3-\frac{5}{6}-\frac{2}{3}$

Here , LCM ( 3 , 6 ) = 6

So,

$3-\frac{5}{6}-\frac{2}{3}\\=\frac{18-5-12}{6}$

On solving terms in numerator , we get $18-5-12=1$

Therefore ,

Quantity of juice he can add to the juice he already has to make exactly 3 gallons of juice = $\frac{1}{6}$ gallon .