If a rabbit has 28 teeth, which is 2/3 of the number of teeth in a dog, how many teeth does a dog have? - briefly
To determine the number of teeth in a dog, we start with the given information that a rabbit has 28 teeth, which represents two-thirds of the number of teeth in a dog. By setting up the equation 2/3 * x = 28, where x is the number of teeth in a dog, we can solve for x. A dog has 42 teeth.
If a rabbit has 28 teeth, which is 2/3 of the number of teeth in a dog, how many teeth does a dog have? - in detail
To determine the number of teeth a dog has, given that a rabbit has 28 teeth and this number represents 2/3 of the teeth a dog possesses, we need to follow a systematic approach. This problem involves understanding the relationship between the teeth count of a rabbit and a dog, and using this relationship to find the unknown quantity.
Firstly, let us establish the relationship mathematically. If 28 teeth in a rabbit are 2/3 of the teeth in a dog, we can set up the following equation:
2/3 * (number of teeth in a dog) = 28
To find the number of teeth in a dog, we need to solve for the unknown quantity. We start by isolating the variable representing the number of teeth in a dog. Multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:
(number of teeth in a dog) = 28 * (3/2)
Next, perform the multiplication:
(number of teeth in a dog) = 28 * 1.5 (number of teeth in a dog) = 42
Thus, based on the given information and the mathematical relationship, a dog has 42 teeth. This calculation is straightforward and relies on the principle of proportionality, where the number of teeth in a rabbit is a known fraction of the number of teeth in a dog.
It is important to note that while this problem provides a theoretical answer, the actual number of teeth in dogs can vary. Typically, adult dogs have 42 permanent teeth, which aligns with our calculated result. This consistency reinforces the accuracy of our mathematical derivation. However, it is always beneficial to cross-reference such calculations with biological data to ensure accuracy, especially when dealing with natural phenomena.