Suppose you are having a birthday party at the local bowling alley. You are trying to figure out how many people you can afford to invite.

Question

You can spend a maximum of $500 on your party. The table below represents the costs for each bowling alley.
(the money is for bowl/person)
Bowling A $10.50
Bowling B $15.00

1. Set up an equation that shows the relationship between the number of guests and the price per bowler for each bowling alley.
2. Calculate how many guests you will be able to invite to your party for each bowling alley.

Answer 1

Let x be the number of guests you can invite to the party and let y be the price per bowler.

For Bowling A:
y = $10.50
Total cost = x * y

For Bowling B:
y = $15.00
Total cost = x * y

To calculate how many guests you can invite to each bowling alley:
For Bowling A:
Total cost = $500
10.50x = 500
x = 500 / 10.50
x ≈ 47 guests

For Bowling B:
Total cost = $500
15x = 500
x = 500 / 15
x ≈ 33 guests

Therefore, you can invite up to 47 guests to Bowling Alley A and up to 33 guests to Bowling Alley B within the budget of $500.

Answer 2

so, what should be put for the first and second question

Answer 3

1. The equation to show the relationship between the number of guests (x) and the total cost (C) for each bowling alley:
For Bowling A:
C = 10.50x

For Bowling B:
C = 15.00x

2. You can invite up to 47 guests to Bowling Alley A and up to 33 guests to Bowling Alley B within the budget of $500.