Question 6343
Let us write the number of letters for the data we have.
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Names of kids: Betty(5), Carol(5), Nick(4), and Joe(3)
Names of colours: green(5), pink(4), red(3), and yellow(6)
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<font color=blue>Clue #1: No person's name has the same number of letters as his or her favorite color.</font>
<br>From this we understand:
Betty - CANNOT LIKE - GREEN
Joe - CANNOT LIKE - RED
Nick - CANNOT LIKE - PINK
Carol - CANNOT LIKE - GREEN
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<font color=blue>Clue #2: Carol and the girl who likes pink are in the different grades.</font>
<br>From this we get that Carol and the girl who likes pink are seperate girls. There is only one other girl,Betty.She likes pink
So,<b>Betty likes Pink</b>
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<font color=blue>Clue #3: Red is the favorite color of one of the boys.</font>
<br>From our table above we know that,
Joe - CANNOT LIKE - RED
Nick - CANNOT LIKE - PINK
<br>Therefore,<b>Nick likes Red.</b>
<P>Now we know 2 of the favourite colours:
Betty - Pink and Nick - Red
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Now we have 2 kids(Carol,Joe) and 2 colours(yellow,green) left
<P>From our table above we know that,
Joe - CANNOT LIKE - RED
Carol - CANNOT LIKE - GREEN
<br>Since there are only two colours left,<b>Carol must like yellow</b>.
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Then <b>Joe must like green.</b>
<P>To summarize,
Betty - pink
Carol - yellow
Nick - red
Joe - green
<P>Hope this helps,good luck.