document.write( "Question 161983: I submitted this question earlier under the wrong category. Please help. I would like to understand how to solve this for furthur reference to other problems i might get. Thank you.
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document.write( "A stamp collection consists of 3, 8, and 15 cent stamps. The number of 8 cent stamps is one less than triple the number of 3 cent stamps. The number of 15 cent stamps is six less than the number of 8 cent stamps. The total value of all the stamps is $2.47. Find the number of 8 cent stamps in the collection. [Fifteen points for the correct algebra equation and five points for solving the equation. \n" );
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Algebra.Com's Answer #119374 by KnightOwlTutor(293)![]() ![]() You can put this solution on YOUR website! x=# of 3cent stamps\r \n" ); document.write( "\n" ); document.write( "3x-1=# of 8 cent stamps\r \n" ); document.write( "\n" ); document.write( "(3x-1)-6=# of 15cent stamps\r \n" ); document.write( "\n" ); document.write( "Total value is $2.47\r \n" ); document.write( "\n" ); document.write( ".03x+.08(3x-1)+.15(3x-7)=2.47\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Use the distributive property\r \n" ); document.write( "\n" ); document.write( ".03x+.24x-.08+.45x-1.05=2.47\r \n" ); document.write( "\n" ); document.write( "Combine like terms and simplify\r \n" ); document.write( "\n" ); document.write( "(.03+.24+.45)x+(-.08-1.05)=2.47\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(0.72)x-1.13=2.47\r \n" ); document.write( "\n" ); document.write( "add 1.13 to both sides\r \n" ); document.write( "\n" ); document.write( ".72x=3.6\r \n" ); document.write( "\n" ); document.write( "divide both sides by .72\r \n" ); document.write( "\n" ); document.write( "x=5\r \n" ); document.write( "\n" ); document.write( "# of 3 cent stamps is 5\r \n" ); document.write( "\n" ); document.write( "# of 8 cent stamps =3(5)-1=14\r \n" ); document.write( "\n" ); document.write( "# of 15 cent stamps is 14-6=8\r \n" ); document.write( "\n" ); document.write( "Let's double check our answer\r \n" ); document.write( "\n" ); document.write( ".03(5)+.08(14)+.15(8)=.15+1.12+1.2=2.47\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |