Question

Evan went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 150 mg of sodium and each frozen dinner has 550 mg of sodium. Evan purchased a total of 16 cans of soup and frozen dinners which collectively contain 5200 mg of sodium. Determine the number of cans of soup purchased and the number of frozen dinners purchased.

Answer 1

Answer:

Evan purchased 7 frozen dinners and 9 cans of soup.

Step-by-step explanation:

Since Evan went to the grocery store and purchased cans of soup and frozen dinners, and each can of soup has 150 mg of sodium and each frozen dinner has 550 mg of sodium, and Evan purchased a total of 16 cans of soup and frozen dinners which collectively contain 5200 mg of sodium, to determine the number of cans of soup purchased and the number of frozen dinners purchased the following calculation must be performed:

16 x 550 + 0 x 150 = 8800

8800 - 5200 = 3600

550 - 150 = 400

3600/400 = 9

7 x 550 + 9 x 150 = X

5200 = X

Therefore, Evan purchased 7 frozen dinners and 9 cans of soup.