Asked by PT

After playing the first 25% of his tennis matches this seasons, Colin won 20% of his matches. What percent of his remaining matches must he win to win 50% of his matches ?
Answered by IXL Math Practice
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Answered by Reiny
total matches ..... x
matches played so far .... x/4
matches won so far = (1/5)(x/4) = x/20

let remaining percentage he wins = y%
(y/100)(3x/4) + x/20 = x/2
divide by x
(y/100)(3/4) + 1/20 = 1/2
multiply by 400
3y + 20 = 200
3y = 180
y = 60
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