document.write( "Question 118088: A stamp collection consists of 5, 13, and 18 cent stamps. The number of 13 cent stamps is one less than twice the number of 5 cent stamps. The number of 18 cent stamps is five more than the number of 13 cent stamps. The total value of all the stamps is $2.60. Find the number of 13 cent stamps in the collection.
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document.write( "This is what I had tried to figure out
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document.write( "5 cent stamp = X
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document.write( "13 cent stamp = 2x-1
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document.write( "18 cent stamp = 2x-1+5
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document.write( " x=2x-1=2x-1+5 = 2.60 \n" );
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Algebra.Com's Answer #86167 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A stamp collection consists of 5, 13, and 18 cent stamps. \n" ); document.write( "The number of 13 cent stamps is one less than twice the number of 5 cent stamps. \n" ); document.write( "Let # of 5 cent stamps be \"x: Value is 5x cents \n" ); document.write( "# of 13 cent stamps is 2x-1; value is 13(2x-1)=26x-13 cents \n" ); document.write( "----------------------- \n" ); document.write( "The number of 18 cent stamps is five more than the number of 13 cent stamps. \n" ); document.write( "# of 18 cent stams is 2x-1+5 = 2x+4; value is 18(2x+4)= 36x+72 cents \n" ); document.write( "------------------------ \n" ); document.write( " The total value of all the stamps is $2.60. \n" ); document.write( "EQUATION: \n" ); document.write( "value + value + value = 260 cents \n" ); document.write( "5x+26x-13+36x+72 = 260 \n" ); document.write( "67x +59 = 260 \n" ); document.write( "67x = 201 \n" ); document.write( "x = 3 \n" ); document.write( "------------------------------------ \n" ); document.write( "Find the number of 13 cent stamps in the collection. \n" ); document.write( "26x-13 = 26*3-13 = 65 (# of 13-cent stamps) \n" ); document.write( "==================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |