If a peasant knows that a cow costs four times more than a dog and a horse costs four times more than a cow, what is the price relationship between a horse and a dog?

If a peasant knows that a cow costs four times more than a dog and a horse costs four times more than a cow, what is the price relationship between a horse and a dog? - briefly

To determine the price relationship between a horse and a dog, we start by establishing the given relationships. A cow costs four times more than a dog. A horse costs four times more than a cow. Therefore, the price of a horse is sixteen times the price of a dog.

If a peasant knows that a cow costs four times more than a dog and a horse costs four times more than a cow, what is the price relationship between a horse and a dog? - in detail

To determine the price relationship between a horse and a dog, given that a cow costs four times more than a dog and a horse costs four times more than a cow, we need to establish a clear mathematical relationship between these animals.

First, let us define the price of a dog as D. According to the given information, the price of a cow is four times the price of a dog. Therefore, the price of a cow can be expressed as:

Cow = 4 * D

Next, we know that the price of a horse is four times the price of a cow. Using the relationship established above, we can express the price of a horse as:

Horse = 4 * Cow

Substituting the value of Cow from the previous step, we get:

Horse = 4 (4 D) Horse = 16 * D

Thus, the price of a horse is 16 times the price of a dog. This relationship can be summarized as follows:

• The price of a cow is 4 times the price of a dog.
• The price of a horse is 16 times the price of a dog.

In conclusion, the price relationship between a horse and a dog is that a horse costs 16 times more than a dog. This detailed analysis provides a clear understanding of how the prices of these animals are interrelated based on the given information.