SOLUTION: There are 50 boys and 60 girls in the cafeteria .After x boys and x-5 girls left the cafeteria the probability of selecting a girl becomes 5/7,what is the value of x?

Question 1040862: There are 50 boys and 60 girls in the cafeteria .After x boys and x-5 girls left the cafeteria the probability of selecting a girl becomes 5/7,what is the value of x?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
After x boys left, there are 50 - x boys remaining.
After x-5 girls left, there are 60 - (x-5) = 65 - x girls remaining.
==>
<==>
==> 7(65-x) = 5(115-2x), after cross-multiplication.
==> 455 - 7x = 575 - 10x
==> 3x = 120 ==> .
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