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?
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?
A = cost of admission
R = cost of one ride
A + 2R = 10 (1)
A + 5R = 16 (2)
subtract (1) from (2) 3R = 6
divide both sides by 3 R = 2 cost of one ride is $2
plug value of R into (1) A + (2)(2) = 10
A + 4 = 10
subtract 4 from both sides A = 6 cost of admission is $6
.
