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16 Oct 2025, 05:00
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On a test, the boys’ average score is 70, and the girls’ average score is 80. If there are 18 boys and 12 girls in the class, what is the test average for the entire class?
18 Oct 2025, 04:38
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Official Explanation
For 18 boys at 70 points per boy, there are 18 × 70 = 1,260 total points. For 12 girls at 80 points per girl, there are 12 × 80 = 960 total points. Then, the combined sum of test scores for the entire class is 1,260 + 960 = 2,220 points. Divide this by 30 to obtain the average score per student, because there are 18 + 12 = 30 students in the class. 2,220 ÷ 30 = 74.
*Divide the number of boys and girls by 6, the greatest common factor of 18 and 12, in order 230 to work with an equivalent ratio of children involving smaller numbers. The ratio of 18 boys to 12 girls is thus reduced to 3:2. For three boys at 70 points per boy, there are 3 × 70 = 210 total points. For two girls at 80 points per girl, there are 2 × 80 = 160 total points. This yields 210 + 160 = 370 total points for all five students together (3 boys + 2 girls). Divide 370 by 5 to obtain the average score per student. 370 ÷ 5 = 74.
Answer: 74
For 18 boys at 70 points per boy, there are 18 × 70 = 1,260 total points. For 12 girls at 80 points per girl, there are 12 × 80 = 960 total points. Then, the combined sum of test scores for the entire class is 1,260 + 960 = 2,220 points. Divide this by 30 to obtain the average score per student, because there are 18 + 12 = 30 students in the class. 2,220 ÷ 30 = 74.
*Divide the number of boys and girls by 6, the greatest common factor of 18 and 12, in order 230 to work with an equivalent ratio of children involving smaller numbers. The ratio of 18 boys to 12 girls is thus reduced to 3:2. For three boys at 70 points per boy, there are 3 × 70 = 210 total points. For two girls at 80 points per girl, there are 2 × 80 = 160 total points. This yields 210 + 160 = 370 total points for all five students together (3 boys + 2 girls). Divide 370 by 5 to obtain the average score per student. 370 ÷ 5 = 74.
Answer: 74
