Answer:
12) A = 27
13) B = 36
14) C = 25
15) D = 30
Step-by-step 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 [tex]\frac{Football}{Baseball}=\frac{5}{9}[/tex]
All other ratios will also be simplified to get [tex]\frac{5}{9}[/tex]
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 [tex]\frac{5\times3}{9\times3}= \frac{15}{27}[/tex]
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 [tex]\frac{5\times4}{9\times4}= \frac{20}{36}[/tex]
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 [tex]\frac{5\times5}{9\times5}= \frac{25}{45}[/tex]
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 [tex]\frac{5\times6}{9\times6}= \frac{30}{54}[/tex]
So, D = 30
