bill wieghs 120 pounds and is gaining ten pounds each month. phil weighs 150 pounds and is gaining 4 pounds each month. how many months, m, will it take for bill to weigh the same as phil

Bill wieghs 12o and gains 10 per month, his weight can be written as 120 + 10m.

Phil's weight can be written as 150 + 4m.

To find the number of months for them to weigh the same, set the equations equal and solve for m.

120 + 10m = 150 + 4m

Subtract 4m from each side:

120 + 6m = 150

Subtract 120 from each side:

6m = 30

Divide both sides by 6:

m = 30/6

m = 5

It will take 5 months.

5 months

Step-by-step explanation:

120 + 10m = 150 + 4m

Subtract 4m from 10m on both sides (4m cancels out which leaves 120 + 6m=150)

120 + 6m = 150

Subtract 120 from 150 on both sides (120 cancels out which leaves 6m = 30

6m = 30

Divide 30 by 6 on both sides (6 cancels out which leaves 30/6

m=5