Question

An amusement park charges admission plus a fee for each ride. Admission plus 2 rides costs $10. Admission plus five rides costs $16. What is the charge for admission? For each ride?

Answer 1

Answer:

The charge for admission is $6 and the charge for each ride is $2

Step-by-step explanation:

Let

x ----> the charge for admission

y ----> the charge for each ride

we have that

$x+2y=10$ -----> equation A

$x+5y=16$ -----> equation B

Solve the system by elimination

Subtract equation B from equation A

$x+2y=10\\-(x+5y)=-16\\---------\\2y-5y=10-16\\-3y=-6\\y=2$

Find the value of x

substitute the value of y in any equation

$x+2(2)=10$

$x+4=10$

$x=10-4$

$x=6$

therefore

The charge for admission is $6 and the charge for each ride is $2