Answer:
Dog 1: 16 pounds
Dog 2: 24 pounds
Step-by-step explanation:
2x+3x=40
5x=40
x=8
2x = 16
3x=24
Answer:
The dogs' weights are 16 pounds and 24 pounds
Step-by-step 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:
[tex]\displaystyle \frac{x}{40-x}=\frac{2}{3}[/tex]
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
