SOLUTION: Tennis player computes her win ratio by number of matches won divided by number of total matches. At the start of the week end her win ratio is 0.500 during the week end she wins 3

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Tennis player computes her win ratio by number of matches won divided by number of total matches. At the start of the week end her win ratio is 0.500 during the week end she wins 3      Log On


   



Question 420087: Tennis player computes her win ratio by number of matches won divided by number of total matches. At the start of the week end her win ratio is 0.500 during the week end she wins 3 matches and loses 1. At the end of the week end her win ratio is greater than 0.503 What is the greatest number of matches she could have won before the week end began?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = number of matches she won before the weekend
Let y = total number of matches played before the weekend
given:
(1) x%2Fy+=+.5
(2) +%28x+%2B+3%29%2F%28y+%2B+4%29+%3E+.503+
------------------------
(1) +x+=+.5y+
and
(2) +%28.5y+%2B+3%29%2F%28y+%2B+4%29+%3E+.503+
(2) +.5y%5E2+%2B+3y+%2B+2y+%2B+12+%3E+.503+
(2) +.5y%5E2+%2B+5y+%2B+11.497+%3E+0+
(2) +y%5E2+%2B+10y+%2B+22.994+%3E+0+
Just use quadratic equation to solve