Question

Sarah and Connor went bowling together. Sarah rented bowling

shoes and played three games, for a total cost of $9.50. Connor
rented bowling shoes and played five games, for a total cost of
$14.50.
How much does it cost to rent bowling shoes?

Answer 1

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.