Question

Apples cost $\$\frac{5}{6}$ per pound and oranges cost $\$1\frac{6}{7}$ per pound. Find the total cost of 3 lb of apples and 5 lb of oranges.

• A. $\$6\frac{11}{14}$
• B. $\$5\frac{1}{2}$
• C. $\$11\frac{11}{14}$
• D. $\$2\frac{1}{7}$

Answer 1

The correct option is C $\$11\frac{11}{14}$

Cost of one lb apples $=\$\frac{5}{6}$

Cost of one lb oranges $=1\frac{6}{7}=\$\frac{13}{7}$

Cost of 3 lb apples and 5 lb oranges $=3\times \frac{5}{6}+5\times \frac{13}{7}$


$=\frac{5}{2}+\frac{65}{7}$

$=\frac{5\times 7}{2\times 7}+\frac{65\times 2}{7\times 2}$

$=\frac{35+130}{14}$

$=\frac{165}{14}$

$=\$11\frac{11}{14}$

The cost of 3 lb apples and 5 lb oranges is $\$11\frac{11}{14}$.