Math Problem Statement

A local pizza shop has a membership program for frequent buyers. The membership costs $20 per month and members get a discounted price of $1.50 per slice of pizza. Liam purchased a membership to this pizza shop. How much would Liam have to pay the pizza shop if he bought 11 slices of pizza this month? What would be the monthly cost for xx slices of pizza?

Monthly cost with 11 slices: Monthly cost with xx slices:

Solution

To calculate the monthly cost for Liam, we break the problem into two parts:

  1. Fixed membership fee: $20 per month.
  2. Cost per slice of pizza for members: $1.50 per slice.

Monthly cost for 11 slices:

Total cost=Membership fee+(Cost per slice×Number of slices)\text{Total cost} = \text{Membership fee} + (\text{Cost per slice} \times \text{Number of slices})

Total cost=20+(1.50×11)=20+16.50=36.50\text{Total cost} = 20 + (1.50 \times 11) = 20 + 16.50 = 36.50

Monthly cost with 11 slices: $36.50


Monthly cost for xx slices:

For xx slices, the formula remains the same:

Total cost=20+(1.50×xx)\text{Total cost} = 20 + (1.50 \times \text{xx})

Monthly cost with xx slices: 20+1.50×xx20 + 1.50 \times \text{xx}


Let me know if you'd like more examples or further explanations! Here are some related questions for practice:

  1. How much would Liam spend if he bought 20 slices in a month?
  2. What is the breakeven number of slices where the membership becomes cost-effective compared to $2.50 per slice for non-members?
  3. How much would Liam save per slice compared to non-members if he eats 11 slices?
  4. If the membership fee increased to $25, how would it affect Liam's monthly cost for 11 slices?
  5. What is the percentage discount per slice for members compared to $2.50 per slice for non-members?

Tip: Always consider fixed costs and variable costs separately to simplify budgeting problems!

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Linear Equations

Formulas

Total cost = Membership fee + (Cost per slice × Number of slices)

Theorems

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Suitable Grade Level

Grades 5-7