AlgebraEasy–MediumFraction of a variable equals a total
Algebra practice question
A recipe uses 3/4 of a cup of sugar for each batch of biscuits. Priya used 6 cups of sugar in total. How many batches did she make?
Answer: 8
Let b be the number of batches: (3/4)b = 6. Multiply both sides by 4/3: b = 6 × 4/3 = 8. Check: 8 × 3/4 = 6.
Common wrong answers
- If you answered 2
- 2 is 6 / 3, using only the 3 from the fraction.
- If you answered 18
- 18 is 6 × 3, using only the numerator. Multiply by 4 AND divide by 3: 6 × 4/3 = 8.
- If you answered 4.5
- 4.5 is 6 × 3/4 — multiplying by the fraction instead of dividing by it. Each batch uses 3/4 cup, so divide the total by 3/4.
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