Two student groups went to an amusement park on the same day.

Question

Group 1 bought 9 tickets and received a $120 discount.
Group 2 bought 3 tickets and received a $30 discount.
Both groups spent the same total amount of money on tickets.
The price of each ticket was the same.
What was the cost of each ticket?

Question 9 options:

$25

$12.50

$15

$7.50

Answer 1

Let's assume that the cost of each ticket is "x".

For Group 1, the cost of 9 tickets without the discount would be 9x. Since they received a $120 discount, the total amount they spent on tickets is 9x - $120.

For Group 2, the cost of 3 tickets without the discount would be 3x. Since they received a $30 discount, the total amount they spent on tickets is 3x - $30.

Since both groups spent the same total amount of money on tickets, we can set up the following equation:

9x - $120 = 3x - $30

Simplifying the equation, we get:

6x = $90

Dividing both sides by 6, we get:

x = $15

Therefore, the cost of each ticket is $15. Answer: $\boxed{15}$.