## Math Problem Statement

Samuel went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 300 mg of sodium and each frozen dinner has 450 mg of sodium. Samuel purchased 5 more frozen dinners than cans of soup and they all collectively contain 6000 mg of sodium. Write a system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased. Define the variables that you use to write the system.

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Algebra

Systems of Equations

Linear Equations

### Formulas

Sodium content equation: 300x + 450y = 6000

Relationship equation: y = x + 5

### Theorems

Substitution Method

Elimination Method

### Suitable Grade Level

Grades 8-10

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