Question

At the movie theater, child admission is $5.30 and adult admission is $9.90. On Wednesday, 172 tickets were sold for a total sales of $1344.00. How many child tickets were sold that day?Number of child tickets:?

Answer 1

We have

x- number of child admissions

y= number of adult admissions

Therefore we have the next equation

x+y=172

5.30x+9.90y=1344

We isolate x from the first equation

x=172-y

we susbtitute in the second equation

5.30(172-y)+9.90y=1344

we simplify

911.6-5.30y+9.90=1344

4.6y=1344-911.6

4.6y=432.4

y=432.4/4.6

y=94

Then we substitute y in the equation with x isolated

x=172-94=78

ANSWER

The number of child tickets is 78