In the first week of January, there are 49 dogs and 28 cats in an animal shelter. Throughout the month, the ratio of dogs to cats remains the same. In the last week of January, there are 20 cats in the shelter. How many dogs are there?

35 dogs

Step-by-step explanation:

Given

Required

Determine the number of dogs for 20 cats

Represent the required number of dogs as a ratio of number of cats

So, we have:

Since, the ratio is the same throughout, we have:

=

Convert ratio to fraction

Multiply through by 20

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get