The ratio of the number of dogs to the number of cats at an animal shelter is 5:4, if there is a total of 153 cats and dogs, how many cats are in the shelter

Since the ratio is 4:5 for cats

Take (4/9) x 153 = 68

d:c=5:4 or

d/c=5/4
or d=c x 5/4
or d=c*(1 + 1/4)= c+ c/4

But d=153-c then
153-c=c+c/4
or 153=2c+c/4=c*2 1/4= c* 9/4
or c=4/9 * 153=612/9=68
cats=68

68

To find the number of cats in the animal shelter, we need to determine the ratio between dogs and cats and use the total number of animals given.

Let's break down the information given:
- The ratio of dogs to cats is 5:4.
- The total number of cats and dogs is 153.

To solve this, we can set up the following equation:
5x + 4x = 153

Here, x represents the common factor between the numbers in the ratio, which in this case is 1.

Simplifying the equation, we have:
9x = 153

Now, to isolate x, we divide both sides of the equation by 9:
x = 153 / 9
x = 17

So, the value of x is 17. Since x represents the common factor between the numbers in the ratio, we need to multiply it by the corresponding numbers in the ratio to find the actual number of dogs and cats.

Number of cats = 4x = 4 * 17 = 68

Therefore, there are 68 cats in the animal shelter.

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