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The Circus

Puzzle:

A circus performance is witnessed by 120 people who have paid a total of $120. The men pay $5, women pay $2, and children pay 10 cents each. How many of each went to the circus?


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Solution:

17 men, 13 women, 90 children went to the circus.


4 comments:

Santhosh said...

Men : 17
Women : 13
Children : 90

Lakshmipriya said...

can you xplain the logic, how u calculated it?

deepak said...

let,
no. of men="m"
no. of children="c"
no. of women="w"
then,
m+c+w=120,
5*m+2*w+0.1*c=120,
solving above two....
1.9c=120+3m,
c={(120+3m)/1.9} must be integer
hence least value of 120+3m must be 171
hence m=17
w=13
c=90

Mudit said...

let,
no. of men="m"
no. of children="c"
no. of women="w"
then,
m+c+w=120,
5*m+2*w+0.1*c=120,
solving above two....
1.9c=120+3m,
c={(120+3m)/1.9} must be integer
hence least value of 120+3m must be 171
hence m=17
w=13
c=90