Out of a total 85 children playing badminton or table tennis or both, total number or 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. What is the number of girls playing only badminton?
girls/boys = 7/10gmatmachoman wrote:Out of a total 85 children playing badminton or table tennis or both, total number or 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. What is the number of girls playing only badminton?
therefore, girls = (7/17) *85 = 35
and boys = 50
The number of boys playing only badminton is 50% of the number of boys = 25
the total number of boys playing badminton is 60% of the total number of boys = 30
so, 5 boys play both badminton and TT. ------- (1)
and boys who play only TT = 20.
The number of children playing only table tennis is 40% of the total number of children = 34
therefore, girls playing TT alone = 34-20 = 14.
a total of 12 children play badminton and table tennis both. -------(2)
from (1) and (2), girls who play both TT and badminton = 12-5 = 7.
therefore, girls who play just badminton [spoiler]= 35-7-14 = 14.[/spoiler]
what's the OA ?
