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?

1 Answer
Apr 7, 2018

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