In a school, 32 children are present. If 1/4 of them leave for a picnic and then 1/8 of the remaining children go to the library, how many children are left in the school after these two activities?
Answer
21
The correct answer is 21 — Therefore 21 children remain in the school.
Step-by-step solution
- Find one-fourth of 32: (32 \times \frac{1}{4} = 8).
- Subtract these 8 from the original 32: (32 - 8 = 24).
- Find one-eighth of the remaining 24: (24 \times \frac{1}{8} = 3).
- Subtract these 3 from 24: (24 - 3 = 21).
- Therefore 21 children remain in the school.
Common mistake: Not updating the remaining number before applying the next fraction
Concept tested: Sequential removal of fractions
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