Question

The question is below

Answer 1

12) A = 27

13) B = 36

14) C = 25

15) D = 30

Explanation:

We need to complete the ratio tables

We are given:

Footballs 15 5 20 C D

Baseballs A 9 B 45 54

The table shows the ratio of footballs to baseballs.

We are given the ratio
`(Football)/(Baseball)=(5)/(9)`

All other ratios will also be simplified to get
`(5)/(9)`

12) Calculate A

Footballs = 15

Baseballs = A

Common ratio is 5/9, we need to find a number that multiplies by 5 to get 15, same number will be multiplied by denominator to get A.

We know that
`(5*3)/(9*3)= (15)/(27)`

So, A = 27

13) Calculate B

Footballs = 20

Baseballs = B

Common ratio is 5/9, we need to find a number that multiplies by 5 to get 20, same number will be multiplied by denominator to get B.

We know that
`(5*4)/(9*4)= (20)/(36)`

So, B = 36

14) Calculate C

Footballs = C

Baseballs = 45

Common ratio is 5/9, we need to find a number that multiplies by 9 to get 45, same number will be multiplied by numerator to get C.

We know that
`(5*5)/(9*5)= (25)/(45)`

So, C = 25

15) Calculate D

Footballs = D

Baseballs = 54

Common ratio is 5/9, we need to find a number that multiplied by 9 to get 54, same number will be multiplied by numerator to get D.

We know that
`(5*6)/(9*6)= (30)/(54)`

So, D = 30