Question

New Horizon Movie Cineplex has a theater that seats 150 people. They sell adult tickets at $10.00 a piece while children can see a movie for $8.50 each. How many of each type of ticket does the Cineplex need to sell in order to make $1395?

Answer 1

80 adult tickets and 70 children tickets

Answer 2

`70\ children\ tickets`

`80\ adult\ tickets`

Explanation:

Let

x------> the number of adult tickets

y------> the number of children tickets

we know that

`x+y=150` -----> isolate the variable x

`x=150-y` -----> equation A

`10x+8.5y=1,395` -----> equation B

substitute equation A in equation B and solve for y

`10(150-y)+8.5y=1,395`

`1,500-10y+8.5y=1,395`

`-1.5y=1,395-1,500`

`1.5y=105`

`y=70\ children\ tickets`

Find the value of x

`x=150-70=80\ adult\ tickets`