At the bowling alley, David paid $18 and bowled 4 games while Jennifer paid $15 and bowled 3 games. Both of the prices include the price of renting shoes. Help Video(10 points)
The cost per game is $
The shoe rental cost is $
Cost per game:
David's total cost for 4 games is $18, so the cost per game for David is $18/4 = $4.50 per game.
Jennifer's total cost for 3 games is $15, so the cost per game for Jennifer is $15/3 = $5 per game.
Shoe rental cost:
Both David and Jennifer paid for shoe rental as part of their total cost. Since the cost per game already includes the shoe rental, we do not need to calculate the shoe rental cost separately.
wrong
My apologies for the mistake. Let's correct that:
Let's let the cost per game be x and the shoe rental cost be y.
From the given information, we can set up a system of equations:
4x + y = 18 (David paid $18 for 4 games including shoe rental)
3x + y = 15 (Jennifer paid $15 for 3 games including shoe rental)
Now, we can solve this system of equations to find the values of x and y:
From the first equation:
y = 18 - 4x
Substitute y = 18 - 4x into the second equation:
3x + 18 - 4x = 15
-x + 18 = 15
-x = -3
x = 3
Now that we have found the cost per game (x = $3), we can find the shoe rental cost:
y = 18 - 4(3) = 18 - 12 = 6
Therefore, the cost per game is $3 and the shoe rental cost is $6.