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

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

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.