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?

1 Answer
Serena D.
Apr 19, 2018

#68# cats

Explanation:

Let's set up an equation with #x# as the number of times #5# and #4# are being multiplied (remember that 5:4 is a ratio, we don't know how many dogs and cats there are, just that the ratio of dogs to cats is 5:4):

#5x+4x=153#

#9x=153#

#x=17#

#4x=4*17=68#

There are #85# dogs (#5*17#) and #68# cats (#85:68=5:4#)

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