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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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