Sahil Khan
0

Let x represents each can of soup and y represents each frozen dinner.

Mariah purchased thrice as many frozen dinners so, the equation to represent this will be

x = 3y or equation 1

Each can has 250 mg of sodium and frozen dinner has 450 mg of sodium, and they contain 7200 mg of sodium, so the equation to represent this will be

250 x + 450 y = 7200 or equation 2


Plug in x = 3y in equation 2, and solve for y.

250 (3y) + 450 y = 7200

750 y + 450 y = 7200

1200 y = 7200

y = 6.

This means that the number of frozen dinners purchased by Mariah are 6.

Plugging in y = 6, in the equation 1, we get x = 18.

This means that Mariah purchases 18 cans of soup.