Respuesta :
The ratio of the number of Yankee fans to Red Sox fans is 5:4 Then there are 72 players
Solution:
Given, the ratio of players to fans is 4 : 20
The ratio of the number of Yankee fans to Red Sox fans is 5:4.
There are 200 Yankee fans.
We have to find how many players are there?
Now, for 5 yankee fans ⇒ 4 red sox fans
Then, for 200 yankee fans ⇒ “n” red sox fans
So, by chris cross method,
[tex]\begin{array}{l}{5 \times n=4 \times 200} \\\\ {\rightarrow 5 n=800 \rightarrow n=160}\end{array}[/tex]
So, there are 200 yankee fans and 160 red sox fans
Then, total number of fans = 200 yankee + 160 red sox = 360 fans
Now, we know that,
For 4 players ⇒ 20 fans
Then, “p” ⇒ 360 fans
Now, by chris cross method,
[tex]\begin{array}{l}{4 \times 360=20 \times p} \\\\ {\rightarrow 20 p=4 \times 360} \\\\ {\rightarrow 2 p=4 \times 36} \\\\ {\rightarrow p=2 \times 36 \rightarrow p=72}\end{array}[/tex]
Hence, there are 72 players
