document.write( "Question 150545: A stamp collection consists of 3,8, and 15 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. \n" ); document.write( "
Algebra.Com's Answer #110510 by mangopeeler07(462)![]() ![]() ![]() You can put this solution on YOUR website! A stamp collection consists of 3,8, and 15 cent stamps. \n" ); document.write( "x=# 3 cent stamps \n" ); document.write( "y=# 8 cent stamps \n" ); document.write( "z=# 15 cent stamps\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "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. \n" ); document.write( "y=3x-1 \n" ); document.write( "z=3x-1-6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The total value of all the stamps is $2.47. \n" ); document.write( "3x+8y+15z=247\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "PLug in values for y and z \n" ); document.write( "3x+8(3x-1)+15(3x-7)=247\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Distribute \n" ); document.write( "3x+24x-8+45x-105\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Combine like terms \n" ); document.write( "72x-113=247\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add 113 to both sides \n" ); document.write( "72x=360\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide both sides by 72 \n" ); document.write( "x=5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5 3cent stamps \n" ); document.write( "y=3x-1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y=3(5)-1 \n" ); document.write( "y=14 \n" ); document.write( "14 8 cent stamps\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "z=3x-7 \n" ); document.write( "z=3(5)-7 \n" ); document.write( "z=8 \n" ); document.write( "8 15 cent stamps\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: \n" ); document.write( "# 3 cent stamps= 5 \n" ); document.write( "# 8 cent stamps= 14 \n" ); document.write( "# 15 cent stamps= 8 \n" ); document.write( " |