Question

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

Answer 1

Answer:

35 dogs

Step-by-step explanation:

x ---> the number of dogs

y ---> the number of cats

The last week of January we have 20 cats and the ratio is the same

so

\frac{x}{y}=\frac{49}{28} ----> equation A

y=20 ---> equation B

substitute equation B in equation A

\frac{x}{20}=\frac{49}{28}

solve for x

x=\frac{49}{28}(20)=35 dogs