Question

An amusement park charges a set fee for a wristband and a fee for each ride. One wristband plus three rides costs $14.50. One wristband plus six rides cost $22. What is the cost a wristband and the cost of each ride?

Answer 1

cost of wristband = $7.00

cost of each ride = $2.50

Explanation:

w = wristband fee

r = cost of one ride

(1) w + 3r = 14.50

(2) w + 6r = 22.00

Solve equation (1) for w, then substitute into equation (2):

w = 14.50 - 3r

(14.50 - 3r) + 6r = 22.00 now solve for r

3r = 22 - 14.5 = 7.5

r = 7.5/3 = 2.5 now solve for w

w = 14.5 - 3(2.5) = 14.5 - 7.5 = 7