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. The last week of January, there are 20 cats in the shelter. How many dogs are there? S

Question

Mathematics

Jaylen Zimmerman

30 July, 13:09

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. The last week of January, there are 20 cats in the shelter. How many dogs are there? S

+2

Answers (1)

Know the Answer?

Joe · Answer 1

Answer: 35 dogs

Step-by-step explanation:

Ratio of dogs to cats in first week of January

= 49 : 28

Ratio of dogs to cats in last week of January

=? : 20

Let the unknown number of dogs for last week be Z

Thus, 49/28 = Z/20

To get the value of Z, cross multiply

49 x 20 = 28 x Z

980 = 28Z

Divide both sides by 28

980Z/28 = 28/28

Z = 35

Thus, there were 35 dogs in the animal shelter during the last week

The first week of January, there are49 dogs and 28 cats in an animal shelter. Throughout the month, the ratio of dogs to cats remains the same. The last week of January, there are 20 cats in the shelter. How many dogs are there? S

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. The last week of January, there are 20 cats in the shelter. How many dogs are there? S