A school club plans to package and sell dried fruit to raise money. The club purchased 12...

Question

A school club plans to package and sell dried fruit to raise money. The club purchased 12 containers of dried fruit, each containing 16 3/4 pounds. What is the maximum number of individual bags of dried fruit, each containing 1/4 pounds, that can be sold from the dried fruit the club purchased?

GMAT Panda · Accepted Answer

804 We convert the mixed number weight per container into an improper fraction. 16 3/4 = 67/4 We calculate the total weight of dried fruit by multiplying the number of containers by the weight per container, simplifying common factors first. 67/4 12 = 67 124 = 67 3 = 201 We find the number of quarter-pound bags by dividing the total weight by the weight per bag. 2011/4 = 201 4 = 804

Explanation	Calculations	Help
$We convert the mixed number weight per container into an improper fraction.$	$16 \frac{3}{4} = \frac{67}{4}$
$We calculate the total weight of dried fruit by multiplying the number of containers by the weight per container, simplifying common factors first.$	$\frac{67}{4} \times 12 = \frac{67 \times 12}{4} = 67 \times 3 = 201$
$We find the number of quarter-pound bags by dividing the total weight by the weight per bag.$	$\frac{201}{\frac{1}{4}} = 201 \times 4 = 804$

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