Math Problem Statement
Solution
The problem you uploaded can be broken down as follows:
We have three pieces of information:
- A customer pays $25 for 2 pizzas delivered.
- Another customer pays $58 for 5 pizzas delivered.
- We need to determine how many pizzas a customer receives if they pay $80.
Step 1: Set up equations for both customers.
Let be the cost per pizza, and be the delivery fee. For each situation:
-
For the first customer:
-
For the second customer:
Step 2: Solve for and .
Subtract the first equation from the second:
Now substitute into the first equation:
Step 3: Calculate for the $80 payment.
Now that we know the cost per pizza is $11 and the delivery fee is $3, set up the equation for a customer who pays $80: Substitute and :
Answer:
The customer who pays $80 gets 7 pizzas.
Do you want more details on any part of this solution or have any questions?
Here are some related questions for further practice:
- If a customer paid $100, how many pizzas would they get?
- What would the total cost be for 8 pizzas delivered?
- If the delivery fee were increased to $5, how would that affect the number of pizzas a customer gets for $80?
- How much would 3 pizzas cost without the delivery fee?
- How would the equations change if the price per pizza were different for different customers?
Tip: When you have two variables, solving systems of equations is a great strategy!
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Systems of Equations
Formulas
2p + d = 25
5p + d = 58
xp + d = 80
Theorems
System of Linear Equations
Substitution Method
Suitable Grade Level
Grade 8-10
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