In an animal shelter, the ratio of cats to dogs is five to two. How many more cats are there than dogs, if the total number of cats and dogs is eighty four?
5/7 = c/84
Cross multiply and solve for c.
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To find out how many more cats there are than dogs, we'll first need to determine the number of cats and dogs in the shelter.
Let's assume the number of cats is represented by '5x' and the number of dogs is represented by '2x', where 'x' is a factor that represents the ratio between cats and dogs.
Since the total number of cats and dogs is 84, we can set up the equation:
5x + 2x = 84
Combining like terms, we get:
7x = 84
Next, we can solve for 'x' by dividing both sides of the equation by 7:
x = 84 / 7
x = 12
Now that we know that 'x' equals 12, we can find the number of cats and dogs:
Number of cats: 5x = 5 * 12 = 60
Number of dogs: 2x = 2 * 12 = 24
To find out how many more cats there are than dogs, we subtract the number of dogs from the number of cats:
Number of cats - Number of dogs = 60 - 24 = 36
Therefore, there are 36 more cats than dogs in the animal shelter.