Question

There were 80 people at a play. Admission was 40$ for children and 60$ for adults. The receipts amounted to 3,800$. How many adults and children attended the play?

Answer 1

`30` adults and `50` children attended the play.

Explanation:

Let `x` be the number of children that attended the play and let `y` be the number of adults that attended the play.

From the information provided, we can create the following equations:
`x+y = 80`
`40x+60y = 3800`

Multiplying the first equation by `40`:
`40(x+y) = 80*40`
`40x + 40y = 3200`

Subtracting the new equation from the second equation:
`20y = 600`
`y = 600/20`
`y = 30`

Plugging in `30` for `y` in the first equation;
`x+30=80`
`x=50`