SOLUTION: If a team consists 20 members in which 20% are mathematician then how many member should they hire sothat the ratio would become 10/11

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Question 247217: If a team consists 20 members in which 20% are mathematician then how many member should they hire sothat the ratio would become 10/11
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If a team consists 20 members in which 20% are mathematician then how many member should they hire so that the ratio would become 10/11
:
Let x = no. of members to be hired to accomplish this
:
.2 * 20 = 4 math guys
then
20 - 4 = 16 are non-math
:
The ratio non-math to the total: 16%2F20
:
%28x%2B16%29%2F%28x%2B20%29 = 10%2F11
Cross multiply
11(x+16) = 10(x+20)
11x + 176 = 10x + 200
11x - 10x = 200 - 176
x = 24 non math members need to be hired
:
:
Check this:
%2824%2B16%29%2F%2824%2B20%29 = 40%2F44 = 10%2F11