Question

Jax and Jane put up a fruit juice stall at a summer carnival. They had a barrel with 12 gallons of grape juice. $\frac{1}{4}$ of the juice was sold. If $2\frac{1}{5}$ gallons of grape juice were added to the barrel, how much grape juice does the barrel contain?

• A. 13 gallons
• B. 12 $\frac{1}{5}$ gallons
• C. 11 $\frac{1}{5}$ gallons
• D. 10 $\frac{1}{5}$ gallons

Answer 1

The correct option is C 11 $\frac{1}{5}$ gallons

Amount of juice in the barrel = 12 gallons
Amount of juice sold = $\frac{1}{4}\times 12$
= 3 gallons
Amount of juice left in the barrel:
= 12 – 3
= 9 gallons
Amount of juice added = $2\frac{1}{5}$ gallons
Total amount of juice = $9+2\frac{1}{5}$
= $9+2+\frac{1}{5}$
= $11\frac{1}{5}$

Thus, the total amount of juice left in the barrel is $11\frac{1}{5}$ gallons.