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Paula has a dog that weighs 3 times as much as Carla's dog. The total weight of the dogs is 60 pounds. How much does Paula's dog weigh?

Carla's dog weighs [tex] \frac{60}{4} [/tex] pounds.

Paula's dog weighs [tex] 3 \times \frac{60}{4} [/tex] pounds.

Answer :


Paula's dog weighs 45 pounds.



- Let's assign a variable to Carla's dog's weight. Let's say it's "x".
- According to the problem, Paula's dog weighs 3 times as much as Carla's dog. So we can say that Paula's dog weighs 3x.
- The total weight of the dogs is 60 pounds. So we can set up an equation: x + 3x = 60.
- Simplifying the equation, we get 4x = 60. Dividing both sides by 4, we get x = 15. So Carla's dog weighs 15 pounds.
- We can use this information to find the weight of Paula's dog. We know that Paula's dog weighs 3 times as much as Carla's dog, which is 3 x 15 = 45 pounds.


To solve this problem, we need to use algebra. Algebra is a type of math that uses letters (called variables) to represent unknown values. In this case, we need to use a variable to represent Carla's dog's weight.

Let's say that Carla's dog's weight is "x". According to the problem, Paula's dog weighs 3 times as much as Carla's dog. So we can say that Paula's dog weighs 3x.

We also know that the total weight of the dogs is 60 pounds. So we can set up an equation:

x + 3x = 60

Simplifying the equation, we get:

4x = 60

To solve for x, we need to isolate it on one side of the equation. We can do this by dividing both sides by 4:

x = 15

So Carla's dog weighs 15 pounds.

Now we can use this information to find the weight of Paula's dog. We know that Paula's dog weighs 3 times as much as Carla's dog, which is 3 x 15 = 45 pounds.

Therefore, Paula's dog weighs 45 pounds.

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