Answered

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?

Verified Answer :

80 adult tickets and 70 children tickets


Answer:

\(70\ children\ tickets\)

\(80\ adult\ tickets\)

Step-by-step 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

\(x=150-70=80\ adult\ tickets\)