Question

The average weight of 24 pupils in a class was 43 kg. Two new pupils having the same weight were admitted in the class; so the average weight of the pupils in the class is increased by 0.2 kg. What is the weight of each of the new pupil? ​

Answer 1

Step-by-step explanation:

Let x be the weight of each of the 2 new pupils.

[24(43)+2x]/26=43.2 as the new average with the addition of 0.2 kg on the previous average

[1,032+2x]/26=43.2

1,032+2x=26(43.2)=1,123.2

2x= 1,123.2–1,032=91.2

x=91.2/2=45.6 kg weight of each of the new 2 pupils as the new pupils have the same weight

Check:

Average weight on 26 pupils= [43(26)+2(45.6)]/26=[1,032+91.2]/26=1,123.2/26=43.2 kg

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