The sum of the weights of a dog and cat is 27 pounds. The dog weights an odd number of pounds. Each animal's weight is counting number. If he weights twice as much as she does, what are the weights of the dog and the cat?
Let's solve this problem step by step:
Step 1: Let's assume the weight of the cat as "x" pounds.
Step 2: As per the problem, the dog weighs twice as much as the cat, so the weight of the dog would be "2x" pounds.
Step 3: The sum of the weights of the dog and cat is given as 27 pounds, so we can write the equation as: x + 2x = 27.
Step 4: Simplifying the equation, we get: 3x = 27.
Step 5: Divide both sides of the equation by 3: x = 9.
Step 6: Now we can substitute the value of x back into the equation to find the weight of the dog: 2x = 2 * 9 = 18.
Therefore, the weight of the cat is 9 pounds, and the weight of the dog is 18 pounds.
x + y = 27
x = 2y
2y + y = 27
3y = 27
y = 9
x = 18