Question

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. You can spend a maximum of $500 on your party. The table below represents the costs for each bowling alley.

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let x represent the number of guests you will invite to the party, and let y represent the price per bowler at the bowling alley.

For Bowling Alley A:
y = 20 + 2x

For Bowling Alley B:
y = 25 + 3x

For Bowling Alley C:
y = 30 + 4x

To determine how many guests you can invite to your party, you need to solve for x when the total cost is $500.

For Bowling Alley A:
20 + 2x = 500
2x = 480
x = 240 guests

For Bowling Alley B:
25 + 3x = 500
3x = 475
x = 158 guests

For Bowling Alley C:
30 + 4x = 500
4x = 470
x = 117 guests

Therefore, you can invite a maximum of 240 guests at Bowling Alley A, 158 guests at Bowling Alley B, and 117 guests at Bowling Alley C within your $500 budget.