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)\"\" \"About 
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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( "
\n" );