Question

A market sells soup in 6-ounce cans and 12-ounce cans. On Tuesday, the market sold a total of 420 ounces of soup in 44 cans.

The system of equations below represents this situation
6x + 12y = 420
x + y = 44
How many 6-ounce cans of soup did the market sell on Tuesday?
Enter your answer in the box.

Answer 1

The market sold 18 6-ounce cans of soup on Tuesday

Explanation:

Let us solve the question

- The number of the 6-ounce cans is x

- The number of 12-ounce cans is y

- 6x + 12y = 420

→ Divide each term by 6 to simplify the equation

- x + 2y = 70 ⇒ (1)

- x + y = 44 ⇒ (2)

→ Subtract equation (2) from equation (1)

- (x - x) + (2y - y) = (70 - 44)

- 0 + y = 26

- y = 26

Substitute the value of y in equation (2) to find the value of x

-x + 26 = 44

→ Subtract 26 from both sides

- x + 26 - 26 = 44 - 26

- x = 18

- x represents the number of the 6-ounce cans

- The market sold 18 6-ounce cans of soup on Tuesday