document.write( "Question 1204017: step right up and guess the number of candies in the jar three people have already guessed and their guesses are 315, 350, and 327 now here’s the big clue: one of the guesses is off by 26, one is off by 14 and one is close but off by 9 candies how many candies are in the jar?
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Algebra.Com's Answer #840086 by MathTherapy(10557) You can put this solution on YOUR website! \r\n" ); document.write( "step right up and guess the number of candies in the jar three people have already guessed and their guesses are 315, 350, and 327 now here’s the big clue: one of the guesses is off by 26, one is off by 14 and one is close but off by 9 candies how many candies are in the jar?\r\n" ); document.write( "\r\n" ); document.write( "What that other person wrote makes absolutely NO SENSE. I wonder if he understood what he read!\r\n" ); document.write( "\r\n" ); document.write( "The largest number, 350, either has to be reduced or increased MINIMALLY. As such, we MUST use the \r\n" ); document.write( "smallest difference, 9. If we reduce 350 by 9, we get 341, and if we increase 350 by 9, we get 359.\r\n" ); document.write( "\r\n" ); document.write( "The next largest number, 327, NEEDS to be increased in order to be the same as 341 or 359. Increasing\r\n" ); document.write( "327 to 341 requires adding 14 (341 - 327), while increasing 327 to 359 requires adding 32 (359 - 327). \r\n" ); document.write( "\r\n" ); document.write( "We already see that, reducing 350 to 341 requires subtracting 9, and increasing 327 to 341 requires adding\r\n" ); document.write( "14. So, so far, the match for the 1st and 2nd largest numbers is 341. Now, we have the smallest number 315\r\n" ); document.write( "left and a difference of 26, and we KNOW, for sure, that the last and SMALLEST number, 315, needs to be \r\n" ); document.write( "increased. We find that 315 increased by the remaining difference, 26, is in fact 341. \r\n" ); document.write( "\r\n" ); document.write( "So, the number is DEFINITELY 341.\n" ); document.write( " |