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