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Alexa went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 350 mg of sodium and each frozen dinner has 650 mg of sodium. Alexa purchased twice as many frozen dinners as cans of soup and they all collectively contain 6600 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.

Respuesta :

Answer:

2y = x

7x + 13y = 132

Step-by-step explanation:

Let the number of cans of soup that Alexa purchased is x and that of the frozen dinner is y.

Therefore, from the given conditions we can one system of equations as:

2y = x ......... (1) and

350x + 650y = 6600

⇒ 7x + 13y = 132  ......... (2)

Now, those are the system of equations that can be used to find x and y. (Answer)

raphealnwobi

Alexa bought 4 cans of soup and 8 cans of frozen dinners.

Equation

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the number of cans of soup purchased and y the number of frozen dinners purchased.

Alexa purchased twice as many frozen dinners as cans of soup. Hence:

  • y = 2x
  • y - 2x = 0   (1)

Also:

  • 350x + 650y = 6600   (2)

Solving equation 1 and 2 simultaneously gives:

x = 4, y = 8

Alexa bought 4 cans of soup and 8 cans of frozen dinners.

Find out more on equation at: https://brainly.com/question/13763238

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