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In a class of 80 students, 60% are girls and the rest are boys. The average weight of boys is 5% more than that of girls.If the
average weight of all the students is 51 kg, then what is the average weight (in kg) of the girls?
52.5
50
55
47.5
- In a class of 80 students, 60% are girls, so 48 are girls (0.6 × 80) and 32 are boys.
- The average weight of boys is 5% more than that of girls. Let's say the average weight of girls is G kg. Then the average weight of boys would be 1.05G kg.
- The overall average weight is 51 kg. Using the average formula: (48G+32×1.05G)/80=51
- Solving this gives: (48G+33.6G)=80×51
- This simplifies to: 81.6G=4080
- Solving for G, we find: G=50
- Option 2: 50 kg is the correct answer.
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