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Ferguson bought 120 oz more candy than Mandy. Together, they purchased 840 oz of candy. How much candy did each of them purchase?

Answer :

Final answer:

Mandy purchased 360 ounces of candy, and Ferguson purchased 480 ounces, making for a combined total of 840 ounces.

Explanation:

Ferguson bought 120 oz more candy than Mandy, and together, they purchased a total of 840 oz of candy. To solve how much candy each of them purchased, we start by setting up an equation. If Mandy bought x ounces of candy, then Ferguson bought x + 120 ounces. Combining both amounts will give us the equation x + x + 120 = 840.

Simplifying this equation by combining like terms, we get 2x + 120 = 840. To find the value of x, we subtract 120 from both sides, leaving us with 2x = 720. Dividing both sides by 2, we find that x = 360. Therefore, Mandy bought 360 ounces of candy. Since Ferguson bought 120 ounces more, he purchased 480 ounces of candy.

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