document.write( "Question 850132: Ronald Reagan Rewind
\n" ); document.write( " As you may know, former President Reagan really enjoyed jelly beans, actually having a jar of them in the Oval Office. Let us say that one day the Chief of Staff posed a mathematical question to the President about the yellow and red jelly beans in that jar. “Sir, if you were to eat 1 red jelly bean, 1/7 of the remaining candies would be red. If instead you were to eat 5 yellow jelly beans, 1/6 of the remaining candies would be red.”
\n" ); document.write( "Please determine* how many red jelly beans and how many yellow jelly beans are in the jar.
\n" ); document.write( "*Guess and check approaches are not allowable. You must establish a system of equations that describes the scenario and then solve that system for the number of red and yellow jelly beans.
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Algebra.Com's Answer #511967 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+r+\"$ = number of red jelly beans
\n" ); document.write( "Let $\"+y+\"$ = number of yellow jelly beans
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\n" ); document.write( "If he eats 1 red, there are $\"+r+-1+%2B+y+\"$ remaining
\n" ); document.write( "(1) $\"+%28+1%2F7+%29%2A%28+r+-+1+%2B+y+%29+=+r+-+1+\"$
\n" ); document.write( "If he eats 6 yellow, there are $\"+r+%2B+y+-+6+\"$ remaining
\n" ); document.write( "(2) $\"+%28+1%2F6+%29%2A%28+r+%2B+y+-5+%29+=+r+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "(1) $\"+r+-+1+%2B+y+=+7%2A%28+r+-+1+%29+\"$
\n" ); document.write( "(1) $\"+r+-+1+%2B+y+=+7r+-+7+\"$
\n" ); document.write( "(1) $\"+6r+-+y+=+6+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+r+%2B+y+-+5+=+6r+\"$
\n" ); document.write( "(2) $\"+5r+-+y+=+-5+\"$
\n" ); document.write( "(2) $\"+-5r+%2B+y+=+5+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "Add (1) and (2)
\n" ); document.write( "(1) $\"+6r+-+y+=+6+\"$
\n" ); document.write( "(2) $\"+-5r+%2B+y+=+5+\"$
\n" ); document.write( " $\"+r+=+11+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+-5r+%2B+y+=+5+\"$
\n" ); document.write( "(2) $\"+-5%2A11+%2B+y+=+5+\"$
\n" ); document.write( "(2) $\"+-55+%2B+y+=+5+\"$
\n" ); document.write( "(2) $\"+y+=+60+\"$
\n" ); document.write( "There are 11 red and 60 yellow
\n" ); document.write( "check:
\n" ); document.write( "If he eats 1 red, there are
\n" ); document.write( "70 remaining jelly beans
\n" ); document.write( "1/7 of 70 is 10 and there are 10 red remaining -OK
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\n" ); document.write( "If he eats 5 yellow, there are 66 remaining jelly beans
\n" ); document.write( "1/6 of 66 is 11, and that is the number of
\n" ); document.write( "red remaining -OK \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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