The ratio of cats to dogs is 5 to 4 if there are a total of 63 cats and dogs how many dogs are there and how many cats ate there?

Number of cats is (5/9)(63) = 35, and number of dogs is (4/9)(63) = 28

Step-by-step explanation:

The given ratio is 5 to 4.  Sum these up, obtaining 9.  Then (5/9) of the whole represents the number of cats, and (4/9) of the whole represents the number of dogs.

Number of cats is (5/9)(63) = 35, and

number of dogs is (4/9)(63) = 28

As a check:  35 + 28 = 63.

  see the attachment

Step-by-step explanation:

It helps to follow along the proof and consider how you get from here to there.

In the 5th line, we have a sum in symbols.

In the 7th line, we have an expression with a number on the right side, and a statement that says we got there by subtraction.

Then we expect line 6 to have a sum with numbers whose difference is 40°. (That eliminates the 3rd and 4th choices.)

The way you get from an expression with symbols to an expression with numbers is to make a substitution of numbers for symbols. Hence the appropriate choice is the one shown below.