The system of equations is:
x + y = 14
300 x + 500 y = 5200
The variables that used to write the system are:
x represents the number of the cans of soup
y represents the number of frozen dinners
Step-by-step explanation:
Robert went to the grocery store and purchased cans of soup and
frozen dinners
- Each can of soup has 300 mg of sodium
- Each frozen dinner has 500 mg of sodium
- Robert purchased a total of 14 cans of soup and frozen dinners which collectively contain 5200 mg of sodium
We need to 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
Assume that he purchased x cans of soup and y frozen dinners
∵ x represents the number of the cans of soup
∵ y represents the number of frozen dinners
∵ He purchased a total of 14 cans of soup and frozen dinners
∴ x + y = 14 ⇒ (1)
∵ Each can of soup has 300 mg of sodium
∵ Each frozen dinner has 500 mg of sodium
∵ Robert purchased a total cans of soup and frozen dinners contain
5200 mg of sodium
∴ 300 x + 500 y = 5200 ⇒ (2)
The system of equations is:
x + y = 14
300 x + 500 y = 5200
The variables that used to write the system are:
x represents the number of the cans of soup
y represents the number of frozen dinners
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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