SOLUTION: When 20 boys joined a group of y students the ratio of boys to girls became 5:7 . Write an algebraic expression to represent the number of girls in terms of y.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: When 20 boys joined a group of y students the ratio of boys to girls became 5:7 . Write an algebraic expression to represent the number of girls in terms of y.      Log On


   



Question 841120: When 20 boys joined a group of y students the ratio of boys to girls became 5:7 . Write an algebraic expression to represent the number of girls in terms of y.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +g+ = the number of girls
+y+-+g+ = the original number of boys
------------------------------
given:
+%28+y+-+g+%2B+20+%29+%2F+g+=+5%2F7+
Multiply both sides by +7g+
+7%2A%28+y+-+g+%2B+20+%29+=+5g+
+7y+-+7g+%2B+140+=+5g+
+7y+=+12g+-+140+
+12g+=+7y+%2B+140+
+g+=+%287%2F12%29%2Ay+%2B+35%2F3+