Total MembershipDate: 08/20/99 at 20:51:06 From: Geryca Foy Subject: What is the correct answer? At a country club 35 people play golf, 28 swim, and 24 play tennis. Of these people, 6 play golf and tennis only, 9 play golf and swim only, and 7 play tennis and swim only. 8 people do all three activities. How many members are there altogether? My teacher did the problem and the answer she gave us was 29, using a diagram. I don't understand how there can be fewer members in the country club than there are people playing golf. Date: 08/20/99 at 22:36:08 From: Doctor Peterson Subject: Re: What is the correct answer? Hi, Geryca. You probably copied the answer incorrectly. It should be 49, which makes more sense. Here's the diagram: ........... *********** golf .... **.... **** swim .. ** .. ** . * 9 . * . (12) * . (4) * . * -----------. * . --*- .--- * . -- * 8 . -- * . - * . - * .. - 6 ** .. 7 - ** ...- **.... *-** -........... *********** - - - - (3) - -- -- ---- ---- ----------- tennis The numbers in parentheses were filled in last, by subtracting the given numbers from the total for each activity. Then I just added the numbers up. - Doctor Peterson, The Math Forum http://mathforum.org/dr.math/ |
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