Math Problem Statement
Solution
Let's define the variables:
- Let be the cost of a small pizza.
- Let be the cost of a medium pizza.
- Let be the cost of a large pizza.
Based on the given information, we can set up the following equations from each package:
-
Small Gathering Package:
-
Family Reunion Package:
-
Huge Party Package:
We now have a system of three equations:
Step 1: Eliminate
Let's subtract the first equation from the second to eliminate :
This gives us a new equation:
Step 2: Create another equation without
Next, we subtract the first equation from the third: [ 5s + 4m + 3l = 107
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Math Problem Analysis
Mathematical Concepts
Algebra
Systems of Equations
Formulas
s + m + l = 28
4s + 2m + l = 58
6s + 5m + 4l = 135
Theorems
Substitution and Elimination in Systems of Linear Equations
Suitable Grade Level
Grades 8-10
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