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

gallon

Step-by-step explanation:

Quantity of fruit juice needed by Garrett = 3 gallons

Quantity of grape juice with Garrett = gallon

Quantity of orange juice with Garrett = 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 =

Here , LCM ( 3 , 6 ) = 6

So,

On solving terms in numerator , we get

Therefore ,

Quantity of juice he can add to the juice he already has to make exactly 3 gallons of juice = gallon .