How many female dancers are interested in attending a 2-day event?
Started 1 month ago by Shashank in
Explanatory Answer
No. Of girls= 15
Let the no. Of boys be Y
No. Of singers =6
No. Of boys who are singers = 4
Therefore, no. Of girls who are singers= 2
No. Of dancers =10
No. Of boys who are dancers = 4
No. Of Boys who are neither singers nor dancers = Y-10
No. Of girls who are neither singers nor dancers = 9
Let the number of girls who are interested in attending a 2-day event be a and the number of girls
who are dancers and are interested in 2-day event be B
Now, using statements 3 and 4, we get
2<0.18Y-4<6
6< 0.18Y <10
0.18Y should be integer for which Y should be a multiple of 50 and 0.18Y lies between 6 and 10;
therefore, the only possible value of Y is 50
From statement 5, we can say that,
4+0.4a-b= 5+b+1
Or, 0.4a= 2+2b
Or, a=5(1+b)
A should be a multiple of 5 and b is a whole number if a= 5 and then b= 1
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