Question

A cat is 16 pounds and gains 2 pounds per year. A dog is 4 pounds and gains 5 pounds per year. When will they be equal?

A) 5 years from now
B) 10 years from now
C) 15 years from now
D) They will never have equal weights

Answer 1

The cat and the dog will have equal weights 4 years from now.

Step-by-step explanation:

To find when the cat and the dog will have equal weights, we need to set up an equation. Let x represent the number of years. The equation for the cat's weight is 16 + 2x, and the equation for the dog's weight is 4 + 5x. We need to find the value of x when the cat's weight is equal to the dog's weight, so we set up the equation:

16 + 2x = 4 + 5x

Subtracting 2x from both sides, we get:

16 = 4 + 3x

Subtracting 4 from both sides, we get:

12 = 3x

Dividing both sides by 3, we get:

x = 4

So the cat and the dog will have equal weights 4 years from now.