Youth tickets (y) cost $2 for a ride, while adult tickets (x) cost $3. The amount of money earned is $54. If all the seats were filled (24 seats), how many of each ticket was sold?

Question

Mathematics

Jordyn Mcintosh

22 April, 12:24

Youth tickets (y) cost $2 for a ride, while adult tickets (x) cost $3. The amount of money earned is $54. If all the seats were filled (24 seats), how many of each ticket was sold?

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Answers (1)

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Kathleen Cannon · Answer 1

There are no constants here. But we have x and y here.

We will create an equation which is:

2y+3x=54.

But we will also create a second equation which states the number of seats.

x+y=24.

Now we do the two-equation solving method.

2y+3x=54

-2 (x+y=24)

2y+3x=54

-2x-2y=-48

x=6

To solve for y, plug in x into one of the original equations. Which one doesn't matter.

y+6=24

y=18