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Answer :
It will take 15 weeks for Bill and Jamal to weigh the same.
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The correct answer is:
15 weeks
Explanation:
Let w be the number of weeks. Bill weighs 150 pounds and wants to gain 2 lbs per week; this gives us the expression 150+2w for Bill.
Jamal weighs 195 and wants to lose 1 pound per week; this gives us the expression 195-1w for Jamal.
To determine how many weeks it will take them to weigh the same, we set the two expressions equal:
150+2w=195-1w
Add 1w to each side:
150+2w+1w = 195-1w+1w
150+3w = 195
Subtract 150 from each side:
150+3w-150 = 195-150
3w = 45
Divide each side by 3:
3w/3 = 45/3
w = 15