Difficulty: Easy
Correct Answer: 60
Explanation:
Introduction: A simple fraction and complement problem: if a fraction of the total are boys, the rest are girls. Convert the fraction to a count and subtract from the total.
Given Data / Assumptions: Total students = 200. Boys = 7/10 of total. Girls = total − boys.
Concept / Approach: Compute boys as (7/10) * 200, then subtract from 200 to get girls. This is a direct application of fractions and complements.
Step-by-Step Solution: Boys = (7/10) * 200 = 140. Girls = 200 − 140 = 60.
Verification / Alternative check: Girls are 3/10 of the total. (3/10) * 200 = 60, confirming the result.
Why Other Options Are Wrong: 80 and 120: These correspond to 40% and 60% and do not match the remaining 30%. 40: Too small (20%). 140: That is the number of boys, not girls.
Common Pitfalls: Confusing the fraction for boys with the fraction for girls or miscomputing (7/10) * 200. Always compute one and subtract from the total.
Final Answer: The number of girls is 60.
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