Answer:
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
