Question

Martina has two dogs. The ratio of the dogs’ weights is 2:3. If the

total weight of the two dogs is 40 pounds, how much does each
dog weigh?

Answer 1

Dog 1: 16 pounds

Dog 2: 24 pounds

Explanation:

2x+3x=40

5x=40

x=8

2x = 16

3x=24

Answer 2

The dogs' weights are 16 pounds and 24 pounds

Explanation:

Equations:

Martina has two dogs. Their combined weight is 40 pounds. Let's set:

x = weight of one of the dogs.

40-x = weight of the other dog

The ratio between them is 2:3, thus:

`\displaystyle (x)/(40-x)=(2)/(3)`

Cross multiplying denominators:

3x = 2(40 - x)

Operating:

3x = 80 - 2x

Adding 2x:

5x = 80

Dividing by 5:

x = 80/5 = 16

x = 16 pounds

The weight of the other dog is 40-16=24 pounds.

The dogs' weights are 16 pounds and 24 pounds