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