Answer:
A. 3:4
B. 63 soccer players
Step-by-step 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
[tex] \frac{3}{4} = \frac{x}{36} [/tex]
Cross multiply
[tex] 4*x = 3*36 [/tex]
[tex] 4x = 108 [/tex]
[tex] \frac{4x}{4} = \frac{108}{4} [/tex]
[tex] x = 27 [/tex]
Total number of players in the league = x + 36
Plug in the value of x
= 27 + 36
= 63 players
