Answer: The cost to rent bowling shoes is $2.
Explanation:
Let's define:
S = cost for renting bowling shoes.
G = cost per game.
Then if you rent shoes, and play x games, the total cost is:
C = S + x*G
We know that Sarah rented the shoes and she played 3 games, paying a total of $9.50, then:
C = $9.50 = S + 3*G
We also know that Connor rented the shoes and played 5 games, with a total cost of $14.50
C = $14.50 = S + 5*G
Then we have a system of equations.
$9.50 = S + 3*G
$14.50 = S + 5*G
To solve this, we first need to isolate one of the variables in one of the equations. I will isolate S in the first one:
S = $9.50 - 3*G
Now we can replace this on the other equation:
$14.50 = ($9.50 - 3*G) + 5*G
$14.50 - $9.50 = 5*G - 3*G
$5 = 2*G
$5/2 = G
$2.50 = G
Then each game costs $2.50
The cost to rent bowling shoes can be found with any of the two equations, for example i will use:
S = $9.50 - 3*G
Where we replace G by the value we found above.
S = $9.50 - 3*$2.50 = $2
S = $2.
The cost to rent bowling shoes is $2.