Question

Joseph weighs 120 pounds and is gaining ten pounds each month. Keith weighs 150 pounds and is gaining 4 pounds each month. How many months, m, will it take for Joseph to weigh the same as Keith?​

a) 6 months
b) 12 months
c) 15 months
d) 20 months

Answer 1

To find out how many months it will take for Joseph to weigh the same as Keith, we set up an equation and solve for m. The correct answer is a) 6 months.

Step-by-step explanation:

To find out how many months it will take for Joseph to weigh the same as Keith, we need to set up an equation. Let m represent the number of months. The total weight of Joseph after m months will be 120 + 10m, and the total weight of Keith after m months will be 150 + 4m. We can set up the equation as follows: 120 + 10m = 150 + 4m. Solving for m, we get: 6m = 30. Dividing both sides by 6, we find that m = 5. So it will take 5 months for Joseph to weigh the same as Keith. The correct answer is a) 6 months.