Question

A community sponsored a charity square dance where admission was $3 for adults and $1.50 for children. If 168 people attended the dance and the money raised was $432, how many adults and how many children attended the dance?

Answer 1

`120` adults and `48` children attended the dance.

Explanation:

Let the number of adults attended the dance be `x`
Let the number of children attended the dance be `y`
Now by condition ; `x+y =168` (1) and `3*x+1.50*y=$432`(2)
Multiplying (1) by 3 we get `3x+3y=504 (3)`
`3x+1.5y=432 (4)`
Subtracting (4) from (3) we get `1.5*y=72 or y=48 :. x =168-48=120`[Ans]