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mingshum
Senior Member

USA
29 Posts

Posted - 03/08/2009 :  18:46:33  Show Profile  Reply with Quote
Each of the 10 players on the basketball team shot 100 free throws, and the average number of baskets made was 75. When the highest and lowest scores were eliminated, the average number of baskets for the remaining 8 players was 79. What is the smallest number of baskets anyone could have made? Answer is 18

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anonmeans
Senior Member

USA
37 Posts

Posted - 03/08/2009 :  18:58:03  Show Profile  Reply with Quote
quote:
Originally posted by mingshum

Each of the 10 players on the basketball team shot 100 free throws, and the average number of baskets made was 75.

The ten players averaged 75 baskets each, for a total of 750 baskets.

quote:
Originally posted by mingshum

When the highest and lowest scores were eliminated, the average number of baskets for the remaining 8 players was 79.

The eight players averaged 79 baskets each, for a total of 632 baskets.

The other two players made a total of 750 - 632 = 118 baskets. This is the sum of the highest number, which obviously must be 80 or above, and the lowest number.

quote:
Originally posted by mingshum

What is the smallest number of baskets anyone could have made?

What is the most that the highest player could have made? Then what is the least that the lowest player could have made?
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mingshum
Senior Member

USA
29 Posts

Posted - 03/09/2009 :  18:09:18  Show Profile  Reply with Quote

Thank you anonmeans
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