In a classroom of 48 students, half are girls and half are boys. Among the girls, a quarter did not submit their homework. Among the boys, a third did not submit their homework. How many students did not submit the homework?
Answer
14
The correct answer is 14 — Total students who did not submit = 6 + 8 = 14.
Step-by-step solution
- Total students = 48. Divide equally: 48 ÷ 2 = 24 girls and 24 boys.
- Girls who did not submit: 24 ÷ 4 = 6.
- Boys who did not submit: 24 ÷ 3 = 8.
- Total students who did not submit = 6 + 8 = 14.
Common mistake: Using wrong group size for division
Concept tested: Fractional division in groups
Published · How this solution was prepared and checked
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