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

Answer:

#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#