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The average weight of 45 boys in a school is 50 kg. If the weight of 5 girl students is added, the average is reduced...
The average weight of 45 boys in a school is 50 kg. If the weight of 5 girl students is added, the average is reduced by half a kilogram. What is the average weight in kg of the girl students ?
A
45
B
42.5
C
44.5
D
46.5
A
45
B
42.5
C
44.5
D
46.5
Solution
Total sum of weight of the boys is
= 45 × 50 = 2250 kg
The average weight after the addition of 5 girls is
= 50 − 0.5 = 49.5...
Total sum of weight of the boys is
= 45 × 50 = 2250 kg
The average weight after the addition of 5 girls is
= 50 − 0.5 = 49.5 kg
Total sum of the weight of both boys and girls is
= 49.5 × (45 + 5)
= 49.5 × 50 = 247.5 kg
Total weight of 5 girls is
= 247.5 − 2250 = 225
Average weight of the girl students is
= 225/5 = 45 kg
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