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?

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

Step-by-step 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

step-by-step explanation:

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