Question

PLEASE ANSWER CLEARLY WITH EQUATION

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.

Answer 1

• 300s + 450f = 6000
• s + 5 = f

Explanation:

You want a system of equations to represent the scenario that Samuel bought 5 more frozen dinners than cans of soup, and the 300 mg soup and 450 mg frozen dinner adds up to 6000 mg of sodium in Samuel's purchase.

Variables

We can define s and f to represent the numbers of cans of soup and frozen dinners, respectively.

Equations

The count of mg of sodium is ...

300s +450f = 6000

and the relation between the numbers purchased is ...

s +5 = f

The system of equations can be ...

• 300s +450f = 6000
• s +5 = f

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Additional comment

The solution to these equations is 5 cans of soup and 10 frozen dinners made up Samuel's purchase.

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