Owen went to the grocery store and purchased cans of soup and frozen dinners. each can of soup has 500 mg of sodium and each frozen dinner has 650 mg of sodium. owen purchased a total of 19 cans of soup and frozen dinners which collectively contain 11000 mg of sodium. determine the number of cans of soup purchased and the number of frozen dinners purchased.

Owen bought cans of soup and cans of frozen dinners.

Step-by-step explanation:

We can solve this problem by writing the linear equation system that represents the situation.

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

By reading the question we can write the following linear equation system :

(I)

(II)

Working with the equation (I) we find that (III)

If we replace (III) in (II) :

We find that Owen bought cans of frozen dinners.

If we replace the value of ''y'' in (I) :

We find that Owen bought cans of soup.