Question

John makes $4$ jugs of juice, with each jug containing $\frac{1}{6}$ gallons of juice. On the other hand, William makes $2$ jugs of juice, with each jug containing $\frac{1}{3}$ gallons of juice. Who makes more juice?

• A. John
• B. William
• C. Both make the same amount of juice.

Answer 1

The correct option is C Both make the same amount of juice.

Amount of juice made by John:
Number of jugs $=4$
Amount of juice in each jug $=\frac{1}{6}$gal
Total amount of juice made $=4\times \frac{1}{6}$ gal
$\Rightarrow 4\times \frac{1}{6}=\frac{4}{6}=\frac{4÷2}{6÷2}=\frac{2}{3}$
Therefore, John made $\frac{2}{3}$ gal of juice.

Amount of juice made by William:
Number of jugs $=2$
Amount of juice in each jug $=\frac{1}{3}$ gal
Total amount of juice made $=2\times \frac{1}{3}=\frac{2}{3}$ gal
Therefore, William makes $\frac{2}{3}$ gal of juice.
Hence, both John and William make the same amount of juice.