AlgebraHardThree fractional parts of a number
Algebra practice question
Half of a number plus one third of the number is 14 more than one quarter of the number. What is the number?
Answer: 24
(1/2 + 1/3 − 1/4)n = 14 → (6/12 + 4/12 − 3/12)n = (7/12)n = 14 → n = 24.
Common wrong answers
- If you answered 12
- 12 is the common denominator.
- If you answered 168
- 168 is 14 × 12, forgetting to divide by 7.
- If you answered 13.09
- 13.09 comes from (1/2 + 1/3 + 1/4)n = 14, adding the quarter instead of subtracting.
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