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.

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

## 4 comments:

Men : 17

Women : 13

Children : 90

can you xplain the logic, how u calculated it?

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

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

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