document.write( "Question 23735: is it possible to spend $3.00 for 100 stamps consisting of 2-cent stamps and 5-stamps? \n" ); document.write( "
Algebra.Com's Answer #12516 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! If there are 100 stamps, then let x = number of one type of stamp (either one will do!!): \n" ); document.write( "Let x = number of 5 cent stamps \n" ); document.write( "100-x = number of 2 cent stamps\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".05x = value of the 5 cent stamps \n" ); document.write( ".02(100-x) = value of the 2 cent stamps\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The value of the stamps is $3.00, so \n" ); document.write( ".05x + .02(100-x) = 3.00 \n" ); document.write( ".05x + 2.00 - .02x = 3.00 \n" ); document.write( ".03x + 2.00 = 3.00\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 2.00 from each side:\r \n" ); document.write( "\n" ); document.write( ".03x + 2.00 -2.00= 3.00-2.00 \n" ); document.write( ".03x = 1.00\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide both sides by .03: \n" ); document.write( ".03x = 1.00 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "x= 33 1/3 stamps\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This is NOT possible, since the answer did not come out even. You can't have one third of a stamp.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "R^2 at SCC \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |