Question

Nick and Adam work together. Nick weighs 160 pounds and is gaining about 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.

Answer 1

Answer:

160+3x=195-2x

Step-by-step explanation:

So if Nick is 160 lbs and Adam 195, and Nick is gaining 3 pounds per week and Adam is losing 2 pounds per week then you have to use a variable to find the unknown which is the number of weeks. So a gain is positive or addition and a loss is negative of subtraction. Then to solve it put the variables together and the numbers together. The opposite of -2x is 2x so 3x plus 2x and 195 plus the opposite of 160 which is -160 then solve for x.

Answer 2

Answer:

7 weeks

Step-by-step explanation:

To solve, the equation set up would be

160+3x=195-2x

To solve combine all like terms

that leaves you with x=7

Checking your work

To check, plug in 7 to all of the x's in the equation

you end up with 181 lbs