SOLUTION: Last year, there were 30 male members and 20 female members in a Chess Club. This year, the number of male members is decreased by x% while the number of female members is increase

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Last year, there were 30 male members and 20 female members in a Chess Club. This year, the number of male members is decreased by x% while the number of female members is increase      Log On


   



Question 1088353: Last year, there were 30 male members and 20 female members in a Chess Club. This year, the number of male members is decreased by x% while the number of female members is increased by x%. If the number of male members is equal to that of female members this year, what is the value of x?
Answer by ikleyn(52898) About Me  (Show Source):
You can put this solution on YOUR website!
.
Answer. x = 20%.

Check. 30+-+30%2A%2820%2F100%29 = 30 - 6 = 24 males.

          20+%2B+20%2A%2820%2F100%29 = 20 + 4 = 24 females.

Solution

Your equation is 

30+-+30%2A%28x%2F100%29 = 20+%2B+20%2A%28x%2F100%29.  ====>

30 - 20 = %2820%2B30%29%2A%28x%2F100%29  ====>

10 = %2850%2F100%29%2Ax  ====>  10 = %281%2F2%29%2Ax  ====>  x = 20 %.