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?

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