Nick and Adam workout together. Nick weighs 160 pounds and is gaining 3 pounds per week. Adam weighs 195 pounds and is losing about 2 pounds each week. write an equation that can be used to find the number of weeks that it will take them to weigh the same amount.

7

Step-by-step explanation:

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

(3x + 160) = (195 - 2x)

Step-by-step explanation:

Let Nick and Adam gain the weight for x weeks.

Nick's present weight = 160 pounds

Weight gain by Nick per week = 3 pounds

Weight gain in x weeks = 3x pounds

Total weight of Nick = (3x + 160) pounds

Similarly weight loss by Adam in x weeks = 2x pounds

Present weight of Adam = 195 pounds

Total weight of Adam after x weeks = (195 - 2x) pounds

Since Adam and Nick both have the same weight after x weeks therefore

(3x + 160) = (195 - 2x) will be the equation.