Answer :
Final answer:
To find when Nick and Adam will weigh the same, their weights are modeled with linear equations. Nick's weight is modeled by 160 + 3w, and Adam's is 195 - 2w. Solving 160 + 3w = 195 - 2w will provide the number of weeks until they weigh the same.
Explanation:
This problem can be solved using the concept of linear equations. If Nick is gaining weight at a rate of 3 pounds per week, and he currently weighs 160 pounds, his weight can be represented by the equation N = 160 + 3w, where N is his weight and w is the number of weeks. Similarly, if Adam is losing weight at a rate of 2 pounds per week, and he currently weighs 195 pounds, his weight can be modeled by the equation A = 195 - 2w.
For Nick and Adam to weigh the same, their weights must be equal. Therefore, we set the two equations equal to each other:
160 + 3w = 195 - 2w.
Solving this equation will provide the number of weeks at which they have the same weight.
Learn more about Linear Equations here:
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