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Question

From sections A and B of class eight put together half of the children opted for karate, one fourth opted for basketball one eight opted for football ,one tenth opted for Taekwondo and 2children opted for horse riding, how many students are there in section A if both sections have the same number of students.

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Solution

Let total number of students from A & B be x

So 1/2x - karatte
1/4- basketball
1/8-football
1/10- taekwondo
And 2 for horse riding

So (1/2+1/4+1/8+1/10)x = x-2
since 2 opted for horse riding total students for other games will be x-2

39x/40= x-2
39x= 40x-80
40x-39x=80

x = 80

Since A & B has equal no of students ..
StydeStu in section A will be ½of 80 = 40

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