Question

For a Saturday matinee, adult tickets cost $7.50 and kids under 12 pay only $6.00. If 80 tickets are sold for a total of $525, how many of the tickets were adult tickets and how many were sold to kids under 12?
They sold ___ adult tickets and _____ kids tickets.

Answer 1

Answer:

They sold 30 adult tickets and 50 kids tickets.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

x is the number of adult tickets sold

y is the number of kids tickets sold.

80 tickets are sold

This means that $x + y = 80$, or also, $x = 80 - y$

For a Saturday matinee, adult tickets cost $7.50 and kids under 12 pay only $6.00. Tickets were sold for a total of $525.

This means that:

$7.5x + 6y = 525$

Since $x = 80 - y$

$7.5(80 - y) + 6y = 525$

$600 - 7.5y + 6y = 525$

$1.5y = 75$

$y = \frac{75}{1.5} = 50$

$x = 80 - y = 80 - 50 = 30$

They sold 30 adult tickets and 50 kids tickets.