Question

Joel's dog weighs 10 pounds and is gaining 18 pounds per month. Gena's dog weighs 25 pounds and is gaining 14 pounds per month. How many months will it take for Joel's dog to weigh the same as Gena's?

A) 5 months
B) 6 months
C) 7 months
D) 8 months

Answer 1

It will take approximately 3.75 months for Joel's dog to weigh the same as Gena's.

Step-by-step explanation:

Let's represent the weight of Joel's dog after x months as J and the weight of Gena's dog after x months as G.

We can write the following equations:

1. 
   
3. J = 10 + 18x
4. 
   
6. G = 25 + 14x

To find the number of months it will take for Joel's dog to weigh the same as Gena's, we need to find the value of x that makes the weights equal:

10 + 18x = 25 + 14x

To solve this equation, we can subtract 10 from both sides:

18x - 14x = 25 - 10

4x = 15

Dividing both sides by 4:

x = 15/4

Therefore, it will take approximately 3.75 months for Joel's dog to weigh the same as Gena's.