Question

At the movie theatre, child admission is $5.40 and adult admission is $8.80. On Sunday, three times as many adult tickets as child tickets were sold, for a totalsales of $1113.00. How many child tickets were sold that day?

Answer 1

We have the next information

child admission= $5.40

adult admission= $8.80

x= number of child tickets

y= number of adult tickets

For the first equation, we have the next information, three times as many adult tickets as child tickets were sold

y=3x

For the second equation total

sales of $1113.00

5.40x+8.80y=1113

We will substitute the first equation into the second equation

5.40x+8.80(3x)=1113

we simplify

5.40x+26.4x=1113

31.8x=1113

Then we isolate the x

x=1113/31.8

x=35

then for y we substitute the value of x in the first equation

y=3(35)=105

ANSWER

They sold 35 child tickets and 105 adult tickets