Question

Seventeen members of Tracy's family are going to an amusement park during the week of their family reunion. Adult tickets cost $32.50 each, and child tickets cost $28 each. If the total cost for admission to the park is $530, how many adults went to the park?

a) 10
b) 12
c) 14
d) 15

Answer 1

To solve how many adults went to the amusement park, we set up a system of equations and found that there were 12 adults.

Step-by-step explanation:

To determine how many adults went to the amusement park, we can set up a system of equations based on the given information. Let A be the number of adult tickets and C be the number of child tickets. With 17 family members, the equation is A + C = 17. The total cost is given as $530, so 32.50A + 28C = 530.

We can solve the first equation for C to get C = 17 - A and substitute it into the second equation:

32.50A + 28(17 - A) = 530
Solve the equation for A:

32.50A + 476 - 28A = 530
4.5A = 54
A = 12
So, there were 12 adults who went to the park.