document.write( "Question 968860: Tanner has $5.90 in nickels and quarters. Suppose he has 16 more nickels than quarters. (Let x represent the number of quarters. Complete the table below such that each entry is in terms of x.) \n" ); document.write( "

Algebra.Com's Answer #591972 by Edwin McCravy(20060) $\"\"$ $\"About$

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document.write( "Let the number of quarters be x\r\n" );
document.write( "Then the number of nickels, is x+16\r\n" );
document.write( "                      Value      Value\r\n" );
document.write( "Type       Number       of         of\r\n" );
document.write( " of          of        EACH       ALL\r\n" );
document.write( "coin        coins      coin      coins\r\n" );
document.write( "-------------------------------------------\r\n" );
document.write( "nickel      x+16       $0.05   $0.05(x+16)\r\n" );
document.write( "quarter      x         $0.25   $0.25x\r\n" );
document.write( "-------------------------------------------\r\n" );
document.write( "                     TOTALS    $5.90\r\n" );
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document.write( " The equation comes from the column on the right\r\n" );
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document.write( "  \r\n" );
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document.write( "0.05(x+16) + 0.25x = 5.90\r\n" );
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document.write( "Get rid of decimals by multiplying every term by 100\r\n" );
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document.write( "     5(x+16) + 25x = 590\r\n" );
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document.write( "     5x + 80 + 25x = 590\r\n" );
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document.write( "               30x = 510\r\n" );
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document.write( "                 x = 17 = the number of quarters\r\n" );
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document.write( "The number of quarter is x+16 or 17+16 or 33 nickels\r\n" );
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document.write( "Checking:  17 quarters = 17*$0.25 = $4.25\r\n" );
document.write( "           33 nickels  = 33*$0.05 =  1.65\r\n" );
document.write( "           ------------------------------\r\n" );
document.write( "                            TOTAL =  5.90\r\n" );
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document.write( "Edwin

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