An amusement park charges admission plus a fee for each ride. admission plus four ride cost $22. admission plus seven ride cost $31. what is the charge for admission and the cost for each ride

Admission fee charged = $3

Cost of each ride = $10

Step-by-step explanation:

Let admission fee charged by amusement park in dollars be =

Let cost of each ride in dollars be =

Given:

Admission plus four rides cost $22

If each ride cost in dollars =

Cost of 4 rides in dollars will be  =

So, the total cost in dollars will be given as =

So, we have

Admission plus seven ride cost $31.

If each ride cost in dollars =

Cost of 7 rides in dollars will be  =

So, the total cost in dollars will be given as =

So, we have

So, we have the system of equation as:

A)

B)

Solving the system by elimination method.

Eliminating by subtracting equation A from B.

-

   -       -      -  [Sign of each term of subtract-ant gets reversed]

-----------------------------

Dividing both sides by 3.

∴

Plugging in in equation A.

Subtracting both sides by 12.

∴

Thus, admission fee charged = $3

Cost of each ride = $10

28

step-by-step explanation:

8+8+6+6