document.write( "Question 882537: How many cups of grapefruit juice must be added to 40 cups of punch tht is 5% grapefruit juice to obtain a punch tht is 10% grapefruit juice? \n" ); document.write( "

Algebra.Com's Answer #532917 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "                                        | percentage |     cups of\r\n" );
document.write( "                                        | expressed  |  grapefruit juice\r\n" );
document.write( "                       | cups of liquid | as decimal | contained in liquid\r\n" );
document.write( "-----------------------|----------------|------------|--------------------\r\n" );
document.write( "  5% grapefruit juice  |      40        |    .05     |    .05(40) = 2    \r\n" );
document.write( "100% grapefruit juice  |       x        |   1.00     |      1.00x = x\r\n" );
document.write( "-----------------------|----------------|------------|-------------------- \r\n" );
document.write( "     punch mixture     |    40+x        |    .10     |  .10(40+x) = 4+.10x\r\n" );
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document.write( "Equation comes from right-most column:\r\n" );
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document.write( "                                 2 + x = 4+.10x\r\n" );
document.write( "                              20 + 10x = 40 + x\r\n" );
document.write( "                                    9x = 20\r\n" );
document.write( "                                     x = \r\n" );
document.write( "                                     x =  cups\r\n" );
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document.write( "Edwin

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