Answer:
A. 3:4
B. 63 soccer players
Explanation:
A. If out of 7 players, 3 wore headbands, then it means 4 out of 7 did not wear headbands.
Ratio of players who wire headbands to those who didn't wear headbands would be 3:4
B. Let x represent number of players who wore headbands
Number of players who didn't wear = 36
Total number of players in the league = number of players who wore headbands + those who didn't wear headbands = x + 36
Let's find x by using the ratio generated in part A.
Ratio of players who wore head bands to players who didn't wear = 3:4 = x:36
![(3)/(4) = (x)/(36)](https://img.qammunity.org/2021/formulas/mathematics/high-school/be9r88zldzyj9ejiejtyhca3u56drf5k7h.png)
Cross multiply
![4*x = 3*36](https://img.qammunity.org/2021/formulas/mathematics/high-school/p019n7zhkqxnfpla4h2j7u0ezuki5u1bba.png)
![4x = 108](https://img.qammunity.org/2021/formulas/mathematics/high-school/nga9ugr79o25q0rte6jkzsuxh0ahbgxbkq.png)
![(4x)/(4) = (108)/(4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/pqf9pvhzzi628xokl51i9w0cbzr4zaye23.png)
![x = 27](https://img.qammunity.org/2021/formulas/mathematics/high-school/qj4kndl7tfaipvz6gbo0x4cc9rw5zb811h.png)
Total number of players in the league = x + 36
Plug in the value of x
= 27 + 36
= 63 players