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06 Feb 2015, 07:34
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To make the school racquetball team, Larry must win at least 75% of his matches during tryouts. He must play a predetermined number of matches, none of which may end in a draw. If Larry wins every one of his remaining matches, he will finish with a winning percentage of exactly 75%. How many consecutive matches must Larry win?
(1) Larry has already played 12 matches.
(2) Larry has won 50% of the matches he has played.
Kudos for a correct solution.
(1) Larry has already played 12 matches.
(2) Larry has won 50% of the matches he has played.
Kudos for a correct solution.
Updated on: 07 Feb 2015, 11:24
Originally posted by Konstantin1983 on 07 Feb 2015, 07:40.
Last edited by Konstantin1983 on 07 Feb 2015, 11:24, edited 1 time in total.
Last edited by Konstantin1983 on 07 Feb 2015, 11:24, edited 1 time in total.
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To make the school racquetball team, Larry must win at least 75% of his matches during tryouts. He must play a predetermined number of matches, none of which may end in a draw. If Larry wins every one of his remaining matches, he will finish with a winning percentage of exactly 75%. How many consecutive matches must Larry win?
(1) Larry has already played 12 matches.
(2) Larry has won 50% of the matches he has played.
Statement 1. We know that he played 12 matches but we don't know how many he has won. For example he has won 50% (i.e 6 mathes) and this figure constitutes 50%. Hence to reach 75% of matches won he should win 6 more games. But if he won 25% of matches (i.e 3 games out of 12) he should win more than 6 games. Hence insufficient
Statement 2. We don't know how many games it took Larry to win 50%. For example, he could have won 50 out of 100 games, hence he needs to win 25 more or he could won 6 out of 12, hence he needs 3 more wins
Both statement together tell us that he won 6 out of 12 games. Hence to reach 75% winning mark (18/24) he needs 12 more wins.
(1) Larry has already played 12 matches.
(2) Larry has won 50% of the matches he has played.
Statement 1. We know that he played 12 matches but we don't know how many he has won. For example he has won 50% (i.e 6 mathes) and this figure constitutes 50%. Hence to reach 75% of matches won he should win 6 more games. But if he won 25% of matches (i.e 3 games out of 12) he should win more than 6 games. Hence insufficient
Statement 2. We don't know how many games it took Larry to win 50%. For example, he could have won 50 out of 100 games, hence he needs to win 25 more or he could won 6 out of 12, hence he needs 3 more wins
Both statement together tell us that he won 6 out of 12 games. Hence to reach 75% winning mark (18/24) he needs 12 more wins.
07 Feb 2015, 09:34
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Konstantin1983
hi Konstantin,
just an observation. which has got nothing to do with your answer..
it is concerning the portion coloured ..
if 6 out of 12 have been won .. he requires more than 3 games in a go to get to 75%..
you are missing the point that these 3 games will also add on to the total games so it will become 9 out of 15..
he will have to win another 12 games in this scenario to make it 18 out of 24.. 75%
