Out of 85 children playing badminton or table tennis or both, the total number of girls in the group is 70% of the total number of boys in the group. The number of boys playing only badminton is 50% of the number of boys and the total number of boys playing badminton is 60% of the total number of boys. The number of children playing only table tennis is 40% of the total number of children and a total of 12 children play badminton and table tennis both. The number of girls playing only badminton is
Explanation:
Let total number of boys = x
Let total number of girls = 70% of x = 0.7x
Total = x + 0.7x
85 = 1.7x
x = 50
Number of boys = 50
Number of girls = 0.7 x 50 = 35
Number of boys playing only badminton = 50% of 50 = 25
No. of children playing TT only = 40% of 85 = 34
No. of children playing both = 12
No. of girls playing only Badminton = Total students – Boys playing only Badminton –Children playing both games - Children playing only TT
= 85 - 25 - 12 - 34 = 14
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By: Munesh Kumari