In the local coed softball league, the male to female ratio is 6:6. If there are 160 players in the league, how many are female?
Answers
Answer:
80 females
Step-by-step explanation:
-First we break down that ratio
-So we know that there is a 6:6 ratio of men to women. (for every 6 men there are 6 women) If you simplify that ratio you get a 1:1 ratio. (for ever 1 man there is 1 woman)
-So we know from the 1:1 ratio that there is an even amount of men and women on the team.
-For every 1 male there is 1 female. 1male +1 female=2 people
-So if we have a group of 160 people (and we know from the 1:1 ratio that there must be an even amount of men and women) we would divide 160 by 2 to see how many men and women there are.
-160 divided by 2 equals 80.
-80 females and 80 males.
Given : male to female ratio in football league is 6:6
Total players are 160
To find : number of female player
Solution:
Let number of males player are 6x
And number of females players are 6x
Total number of players are 6x+6x =12x
Now,
Number of female = (assumed number of female players / 12x) × 160 players
=( 6x/12x)×160 players
Female players= 80 players
Number of male players = 160 -80
=80 players