Question

Robert went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 300 mg of sodium. Robert purchased a total of 14 cans of soup and frozen dinners which collectively contain 5200 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

x + y = 14 -----------(1)

`300 * x + c * y = 5200` ----------------(2)

The above is the required system of equation, where,

x = no. of cans of soup Robert purchased

y = no. of cans of frozen dinner Robert purchased

c = amount of sodium (in mg) which each can of frozen dinner contains

Explanation:

Let, Robert purchased x number of cans of soup and y number of cans of frozen dinner and each can of frozen dinner contains c mg of sodium.

Then, according to the question,

x + y = 14 -----------(1)

and

`300 * x + c * y = 5200` ----------------(2)