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Donavon weighs 120 lbs and is gaining 10 lbs each month, while Joshua weighs 150 lbs and is gaining 4 lbs each month. How many months will it take for Donavan to weigh the same as Joshua?

a) 20 months
b) 22 months
c) 25 months
d) 28 months

1 Answer

2 votes

Final answer:

To determine how many months it will take for Donavan to weigh the same as Joshua, set up an equation and solve for x. It will take 5 months for Donavan to weigh the same as Joshua.

Step-by-step explanation:

To determine how many months it will take for Donavan to weigh the same as Joshua, we can set up an equation.

  1. Let x represent the number of months.
  2. Donavon's weight can be represented as 120 + 10x lbs.
  3. Joshua's weight can be represented as 150 + 4x lbs.
  4. We need to find the value of x when the weights are equal, so we set up the equation: 120 + 10x = 150 + 4x.
  5. Solving the equation, we get 6x = 30, which simplifies to x = 5.

Therefore, it will take 5 months for Donavan to weigh the same as Joshua.

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