Robert 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 500 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.

Let us assume that Robert purchased x number of cans of shop which had 300 mg of sodium each and y number of cans of frozen dinners which contained 500 mg of sodium each.

If Robert purchased a total of 14 cans which collectively contained 5200 mg of sodium, then we can write two equations using x and y. They are

x + y = 14 ....... (1) and

300x + 500y = 5200 ......... (2).

Therefore, equations (1) and (2) are the required system of equations which can be solved to get the values of x and y. (Answer)