GMAT Practice Question: 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 \frac{3}{4} pounds. What is the maximum number of individual bags of dried fruit, each containing \frac{1}{4} pounds, that can be sold from the dried fruit the club purchased?
- 50
- 64
- 67
- 768
- 804
Topics: fractions, calculations
Solution
Step 1
We convert the mixed number weight per container into an improper fraction.
16 \frac{3}{4} = \frac{67}{4}
Step 2
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 \cancel{12}}{\cancel{4}} = 67 \times 3 = 201
Step 3
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
Answer
804
