Question

Max and Jason bowled 4 games total and rented 2 pairs of shoes for $23.50. Sierra and her group of friends paid $43.50 to bowl 6 games and rent 6 pairs of shoes. What was the cost of bowling a game? What was the cost of renting a pair of shoes?

a) Bowling cost: $6, Shoe rental cost: $5.50
b) Bowling cost: $5, Shoe rental cost: $4.50
c) Bowling cost: $4, Shoe rental cost: $3.50
d) Bowling cost: $7, Shoe rental cost: $6.50

Answer 1

By creating equations from the provided data and using algebraic methods to solve them, we found that the cost of bowling a game is $4.50 and the cost of renting a pair of shoes is $2.75. The choices given do not accurately reflect the correct values we computed.

Step-by-step explanation:

To determine the cost of bowling a game and cost of renting a pair of shoes, we use the information provided about Max, Jason, Sierra, and her friends. We can set up two equations based on their expenses. Let's use B to represent the cost per game of bowling and S to represent the cost per shoe rental.

For Max and Jason: 4B + 2S = $23.50 (Equation 1)
For Sierra and friends: 6B + 6S = $43.50 (Equation 2)

To solve these equations, we can multiply Equation 1 by 3, which gives us:
12B + 6S = $70.50

Now, we subtract Equation 2 from this new equation:
(12B + 6S) - (6B + 6S) = ($70.50 - $43.50)
Which simplifies to:
6B = $27.00
And therefore:
B = $4.50

Now that we know the cost per game (B) is $4.50, we can substitute it back into Equation 1 to find S:
4($4.50) + 2S = $23.50
$18.00 + 2S = $23.50
2S = $5.50
S = $2.75

So the cost of bowling a game is $4.50 and the cost of renting a pair of shoes is $2.75. Thus, the correct option that fits the closest to our calculated values was not provided in the choices a, b, c, or d.