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

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) (Show Source): You can put this solution on YOUR website!
Let = number of matches she won before the weekend
Let = total number of matches played before the weekend
given:
(1)
(2)
------------------------
(1)
and
(2)
(2)
(2)
(2)
Just use quadratic equation to solve
RELATED QUESTIONS
This is my question.... The TM Tennis Team played a total of 162 matches last season.... (answered by jim_thompson5910)

Out of two thirds of the total number of basketball matches, a team has won 17 matches... (answered by richwmiller)

Anne plays tennis for her school. In April, she won 12/20 matches and calculated her... (answered by fractalier)

The probability that X team wins against Y team is 2/3. If they play three matches, what... (answered by ikleyn)

Ben has won 20% more chess matches than Amy,while Amy has won 25% more chess matches than (answered by Grinnell)

There are 90 players in a league. Each of the 90 players plays exactly one match against (answered by ikleyn)

A chess champion played in a two-week tournament. At the end of the tournament she had... (answered by Mathtut)

A chess champion played in a 2 week tournament. At the end of the tournament she'd lost 4 (answered by Mathtut)

Anne and Maria play tennis almost every weekend. So far, Anne has won 12 out of 20... (answered by stanbon)