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23 votes
Roy weighs 120 pounds and plans to gain 2.5 pounds a week. Luis weighs 1 point

220 pounds and plans to lose 3.5 pounds a week. Which equation shows
when Roy and Luis will weigh the same?

2 Answers

7 votes
The equation 120+2.5x=220-3.5x
User Davia
by
3.2k points
12 votes

Answer:

2.5x + 120 = -3.5x +220; after about 16.6 weeks Roy and Luis will weigh the same amount in pounds

Explanation:

Roy's: y = 2.5x + 120

Luis': y = -3.5x + 220

x is representing the number of weeks and y is representing the total number of pounds each will weight after x weeks.

1) set the two equations equal to each other because you want them to weigh the same amount (this might be your equation if they don't want you to solve for the number of weeks)

2.5x + 120 = -3.5x +220

2) Solve for x to find after how many weeks they will weigh the same

2.5x = -3.5x +100

6x = 100

x = 16.6667 weeks

User Alexey Raga
by
3.2k points