Math
posted by Chris on .
A local animal shelter had four more than six times as many adult cats as kittens. After eight of the kittens were adopted, the shelter had four fewer than eight times as many adult cats as kittens. How many adult cats are at the shelter?

kittens  x
adult cats  6x+4
after adoption:
kittens = x8
6x+4 = 8(x8)  4
6x + 4 = 8x  64  4
2x = 72
x = 36
Number of adults has not changed, so there are
6(36) + 4 or 220 adult cats
check:
originally..
number of kittens 36
cats = 220
is 6(36) + 4 = 220 ? yes
after adoption:
kittens = 28
is 8(28)4 = 220 ? YES
My answer is correct 
At the local animal shelter, there are 30 cats and 36 dogs. What is the ratio of dogs to cats at the local animal shelter