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

Let x be the number of weeks it takes for Jon and Matt to have the same weight.

We have an equation: 148+ 2x= 193 -1x
⇒ 2x+1x = 193-148
⇒ 3x= 45
⇒ x= 45/3
⇒ x= 15

It takes 15 weeks for Jon and Matt to have the same weight~

Can you provide the tape diagram?