Answer
Floyd and John will weigh the same after 4 months.
Explanation
Floyd weighs 160 pounds and is gaining 5 pounds per month.
John weighs 140 pounds and is gaining 10 pounds per month.
We are told to find the number of months it'll take for Floyd and John to weigh the same amount.
Let the number of months be x.
In x months, Floyd would have added 5x pounds and would weigh (160 + 5x) pounds
In x months, John would have added 10x pounds and would weigh (140 + 10x) pounds
When they have the same weight
(160 + 5x) = (140 + 10x)
140 + 10x = 160 + 5x
10x - 5x = 160 - 140
5x = 20
Divide both sides by 5
(5x/5) = (20/5)
x = 4 months.
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