If it costs $16.50 to bowl twice with a shoe rental and $28.50 to bowl 4 times with a shoe rental how much does the shoes cost

Shoe rent is $4.5

Step-by-step explanation:

Let the shoe rent is "x" which will remain the same irrespective of the number of bowling and "y" is bowling.

thus, x + 2y = 16.50

Rewrite, x = 16.50 - 2y

When bowling is 4 time then:

x + 4y = 28.50

Rewrite, x = 28.50 - 4y

Now solve both equations for the value of "y".

Thus, 16.50 - 2y = 28.50-4y

-2y + 4y = 28.50 - 16.50

2y = 12

y = 6

Insert y = 6 in the x - 2y = 16.50

x = 16.50 - 2y

x = 16.50 - 2 (6)

x = $4.5

Shoe rent is $4.5