Question

An amusement park charges admission plus a fee for each ride. Admission plus two rides costs $10. Admission plus five rides cost $16. What is the charge for admission and the cost of a ride?

Answer 1

Answer:the charge for admission is $6 and the cost of a ride is $2

Explanation:

Let x represent the charge for admission.

Let y represent the cost of a ride.

An amusement park charges admission plus a fee for each ride. Admission plus two rides costs $10. This means that

x + 2y = 10 - - - - - - - - - - - - - 1

Admission plus five rides cost $16. This means that

x + 5y = 16 - - - - - - - - - - -- - -2

Subtracting equation 2 from equation 1, it becomes

- 3y = - 6

y = - 6/- 3

y = 2

Substituting y = 2 into equation 1, it becomes

x + 2×2 = 10

x = 10 - 4 = 6