Question

A bowling alley and a skating rink both offer birthday party rentals. The bowling alley costs $5 per person plus a $15 room rental fee. The skating rink costs $3 per person plus a $20 room rental fee. You have $50. If you want to invite as many people as possible, which location should you choose?

Follow the steps to decide on the party location.


1. Write an expression for the amount you would spend on a birthday party at the bowling alley. Let x represent the number of people you invite.

2. Write an expression for the amount you would spend on a birthday party at the skating rink.

3. How many people could you invite to the bowling alley? Please show how you found your answer.

4. How many people could you invite to the skating rink? Please show your work.

Answer 1

• The skating rink is better choice for more people

Explanation:

1. Expression for the amount you would spend on a birthday party at the bowling alley:

• 5x + 15

2. Expression for the amount you would spend on a birthday party at the skating rink:

• 3x + 20

3. Total amount is $50

• 5x + 15 = 50
• 5x = 35
• x = 7

7 people

4. Total amount is $50

• 3x + 20 = 50
• 3x = 30
• x = 10

10 people