Answer: (a) 0.87x
(b) 0.87x = 174
(c) 200 players
Step-by-step explanation:
[tex]\\[/tex]Let x be the total number of players who signed up for the season,
[tex]\\[/tex]since 13% dropped , it implies that 13% of x dropped out , which means 0.13x dropped out.
[tex]\\[/tex]To know the players who finished the league , it implies
[tex]\\[/tex]x - 0.13x = 0.87x
[tex]\\[/tex]This means that 0.87x finished the league
[tex]\\[/tex](a) The expression for the number of players who finished the season will therefore be 0.87x , this is as a result of subtracting those that dropped out (0.13x) from those that signed up ( x)
[tex]\\[/tex](b) The equation to represent the number of players who signed up for the soccer will thus be:
[tex]\\[/tex][tex]\\[/tex]x - 0.13x = 174 , since it was given that 174 finished the league, this implies
[tex]\\[/tex]0.87x = 174
[tex]\\[/tex](c) Solving the equation, we have
[tex]\\[/tex]0.87x = 174
[tex]\\[/tex]0,87x / 0.87 = 174 / 0.87
[tex]\\[/tex]x = 200
[tex]\\[/tex]Therefore 200 players signed up for the league
