Answer:
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 will weigh the same as Phil in 5 months.
Assuming the weight can is represented by w, the expression for Bill's weight given a certain number of months (n) is:
w = 120 + 10n
For Phil it will be:
w = 150 + 4n
Putting the expressions together will give you:
120 + 10n = w = 150 + 4n
10n - 4n = 150 - 120
6n = 30
n = 30 / 6
n = 5 months
It will take 5 months for Bill to weigh the same as Phil.
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