A theatre contains 443 seats and the ticket prices for a recent play were $42 for adults and $23 for children.

Question

A theatre contains 443 seats and the ticket prices for a recent play were $42 for adults and $23 for children. If the total proceeds were $13,590 for a sold out matinee, how many of each type of ticket were sold?

 

 

 

The number of adult tickets sold were ???

The number of children tickets sold were???

Answer 1

Let x represent adult seats and y for children seats

 

x+y=443

therefore:

42x+23y=13,590

 

to find y

 

42(x+y=443)

 

42x+42y=18606

42x+23y=13590...subtract

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         19y=5016...divide both sides by 19

y=264

 

now we substitute to find x

x+264=443

x=443-264

x=179

 

to check

42(179)+23(264)=13590

$7518+$6072=13590

 

Adults=x=179

children=y=264