Question

Word problem: $32.95 for an adult ticket and $22.95 for a junior ticket. one day, the park collected $10,612 from a total of 360 tickets sold. how many were adult tickets and how many were juniors?

Answer 1

$x + y = 360 \\ 32.95x + 22.95y = 10612$
First, solve
$x = 360 - y$

Substitute that into equation
$32.95(360 - y) + 22.95y = 10612 \\ 11862 - 32.95y + 22.95y = 10612 \\ 11862 - 10y = 10612 \\ 10y = 1250 \\ y = 125$

Substitute y = 125 into
$x = 360 - 125 \\ x = 235$

There were 235 adult tickets and 125 junior tickets.

Hope this helps. - M