The ratio of dog and cat owners is 5 to 6. If there are 36 cat owners, what is the number of dog owners?
I think
dog/cat = 5/6 = x/36
To find the number of dog owners, we need to determine the ratio of dog owners to cat owners.
Given: The ratio of dog owners to cat owners is 5 to 6.
Step 1: Determine the ratio of cat owners to dog owners.
Since the ratio is given in terms of dog owners to cat owners, we need to find the reciprocal of the given ratio. The reciprocal of 5 to 6 is 6 to 5.
Step 2: Determine the number of dog owners.
We are given that there are 36 cat owners. Using the ratio of 6 to 5, we can set up the following proportion:
6 (dog owners) / 5 (cat owners) = x (dog owners) / 36 (cat owners)
To solve for x, we cross-multiply:
6 * 36 = 5 * x
216 = 5x
Dividing both sides by 5:
216 / 5 = x
x = 43.2
Since we cannot have a fraction of a dog, we round down to the nearest whole number. Therefore, the number of dog owners is 43.