document.write( "Question 92135: 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. \n" ); document.write( "
Algebra.Com's Answer #66988 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 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. \n" ); document.write( "--------------------- \n" ); document.write( "Let number of 5 cent stamps be \"x\" ; value of these is 5x cents \n" ); document.write( "-------------- \n" ); document.write( "Number of 13 cent stamps is \"2x-1\" ; value of these is 13(2x-1)=26x-13 cents \n" ); document.write( "------------------------- \n" ); document.write( "Number of 18 cent stamps is \"2x+4\" ; value of these is 18(2x+4)=36x+72 cents \n" ); document.write( "-------------------------- \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 (number of 5 cent stamps) \n" ); document.write( "2x-1 = 5 (number of 13 cent stamps) \n" ); document.write( "2x+4 = 10 (number of 18 cent stamps) \n" ); document.write( "======================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |