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

Answer 1

Answer:

35 dogs

Step-by-step explanation:

Let

x ---> the number of dogs

y ---> the number of cats

we know that

The first week of January

The ratio of dogs to cats is equal to

$ratio=\frac{49}{28}$

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

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