How to solve the problem: the weight of the dog is 10 kg more than the weight of the cat? - briefly
To solve the problem where the dog's weight is 10 kg more than the cat's weight, you can set up an equation using variables for their weights and then solve it algebraically. Alternatively, you can use trial and error with logical guesses based on typical pet sizes.
How to solve the problem: the weight of the dog is 10 kg more than the weight of the cat? - in detail
To solve the problem where the weight of the dog is 10 kg more than the weight of the cat, we need to follow a step-by-step approach. Let's denote the weight of the cat as ( C ) and the weight of the dog as ( D ).
First, we need to establish the relationship between the weights of the dog and the cat based on the given information: [ D = C + 10 ]
This equation tells us that the weight of the dog is always 10 kg more than the weight of the cat. To find the actual weights, we would need additional information about either the cat or the dog. For instance, if we know the weight of one of the animals, we can use this relationship to determine the weight of the other.
Let's consider two scenarios:
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If we know the weight of the cat (C):
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If we know the weight of the dog (D):
- Suppose we are given that the weight of the dog is 20 kg. We can substitute ( D = 20 ) into our equation to find the weight of the cat: [ 20 = C + 10 ] [ C = 20 - 10 ] [ C = 10 ]
- Therefore, if the dog weighs 20 kg, the cat would weigh 10 kg.
In summary, to solve this problem, we need to use the given relationship between the weights of the cat and the dog. By substituting the known weight into the equation ( D = C + 10 ), we can determine the unknown weight. This approach ensures that we accurately calculate the weight difference between the two animals based on the provided information.