Question

In a juice bar, Maria asks for two and three-fifths gallons of lemon juice as a refreshment for her baseball team players. If there is $10\frac{5}{8}$ gallons of juice in the shop when Maria entered, how many gallons remain after her purchase?

• A. $5\frac{1}{40}$
• B. $6\frac{1}{40}$
• C. $7\frac{1}{40}$
• D. $8\frac{1}{40}$

Answer 1

The correct option is D $8\frac{1}{40}$

Maria asks for $2\frac{3}{5}$ gallons of lemon juice.
$2\frac{3}{5}=\frac{2\times 5+3}{5}=\frac{13}{5}$ gallons

Available juice in the shop = $10\frac{5}{8}=\frac{8\times 10+5}{8}=\frac{85}{8}$ gallons.

The amount of juice remains after Maria's purchase:
$10\frac{5}{8}-2\frac{3}{5}=\frac{85}{8}-\frac{13}{5}$
$=\frac{85\times 5}{8\times 5}-\frac{13\times 8}{5\times 8}$
$=\frac{425}{40}-\frac{104}{40}=\frac{321}{40}$
$=8\frac{1}{40}$ gallons
$\therefore 8\frac{1}{40}$ gallons lemon juice would remain after Maria's purchase.