At a certain soccer club, the number of players increased by 10 percent between 2015 and 2016. If the number of male pla

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At a certain soccer club, the number of players increased by 10 percent between 2015 and 2016. If the number of male players decreased by 5 percent and the number of female players increased by 15 percent, what is the ratio of female players to male players in 2015?

A. 1:3
B. 1:2
C. 3:2
D. 2:1
E. 3:1

Answer: E

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VJesus12 wrote:
Tue Sep 22, 2020 7:17 am
At a certain soccer club, the number of players increased by 10 percent between 2015 and 2016. If the number of male players decreased by 5 percent and the number of female players increased by 15 percent, what is the ratio of female players to male players in 2015?

A. 1:3
B. 1:2
C. 3:2
D. 2:1
E. 3:1

Answer: E

Solution:

We can let x = the number of male players and y = the number of female players in 2015 and create the equation for 2016:

0.95x + 1.15y = 1.1(x + y)

0.95x + 1.15y = 1.1x + 1.1y

0.05y = 0.15x

5y = 15x

y/x = 15/5

y/x = 3/1

Answer: E

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