Question

Jon weighs 148 lbs and hopes to gain 2 lbs a week. Matt weighs 193 lbs and hopes to lose 1 lb a week. How many weeks until they weigh the same?

Answer 1

148 + 2x = 193 - 1x
2x + 1x = 193 - 148
3x = 45
(Divide)

`(3x)/(3)` =
`(45)/(3)`
x = 15

It will take 15 weeks until Jon and Matt weigh the same.

Answer 2

In 15 weeks, Jon and Matt would have same weight.

Explanation:

We are given the following information in the question:

Let x be the weeks after Jon and Matt have same weight.

Jon's weight = 148 lb

He gains 2 lb every week.

Then weight of Jon in x weeks would be given by the equation:

`148 + 2x`

Matt's weight = 193 lb

He looses 1 lb every week.

Then weight of Matt in x weeks would be given by the equation:

`193 - x`

Then, according to the question:

`148 + 2x = 193 - x\\ 3x = 45\\x = 15`

Thus, in 15 weeks, Jon and Matt would have same weight.