The freshman and sophomore classes at Morristown High School are decorating floats for the school parade. The freshmen have already spent $307 on their float, plus they need to buy floral sheeting that costs $69 per roll. The sophomores, who have spent $342 so far on theirs, still need to purchase vinyl grass at $68 per roll. Both classes plan to buy the same number of rolls, since they have the same area to cover. How many rolls will each class be buying?

Question

Zackery Rojas

Mathematics

1 August, 23:24

The freshman and sophomore classes at Morristown High School are decorating floats for the school parade. The freshmen have already spent $307 on their float, plus they need to buy floral sheeting that costs $69 per roll. The sophomores, who have spent $342 so far on theirs, still need to purchase vinyl grass at $68 per roll. Both classes plan to buy the same number of rolls, since they have the same area to cover. How many rolls will each class be buying?

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Answers (1)

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Winston Bauer · Answer 1

Answer:each class would buy 35 rolls.

Step-by-step explanation:

Let x represent the number of rows of either floral sheeting or vinyl glasses that each class would buy.

The freshmen have already spent $307 on their float, plus they need to buy floral sheeting that costs $69 per roll. This means that the total cost of buying x floral sheetings would be

307 + 69x

The sophomores, who have spent $342 so far on theirs, still need to purchase vinyl grass at $68 per roll. This means that the total cost of buying x vinyl grass would be

342 + 68x

Since they are buying the same number of rolls to cover the same area, then

307 + 69x = 342 + 68x

69x - 68x = 342 - 307

x = 35