Middle School

Nick and Adam work out together. Nick weighs 160 pounds and is gaining 3 pounds per week. Adam weighs 195 pounds and is losing 2 pounds each week.

Write an equation that can be used to find the number of weeks it will take them to weigh the same amount.

Answer :

The equation that can be used to find the number of weeks it will take them to weigh the same amount is 160 + 3w = 195 - 2w , and it will take them 7 weeks to weigh the same amount.

Determining the equation and time for the weight to be equal

Let's take w as the weight,

Nick's weight after w weeks: 160 + 3w

Adam's weight after w weeks: 195 - 2w

Since they will weigh the same after w weeks, you can set up the equation:

160 + 3w = 195 - 2w

Now, solve for w:

Combine like terms:

3w + 2w = 195 - 160

5w = 35

Divide both sides by 5 to isolate w:

w = 35 / 5

w = 7

So, it will take them 7 weeks to weigh the same amount.

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Answer:

7

Step-by-step explanation:

assign the amount of weeks to x. then we write the equation 160+3x=195-2x which is 7