document.write( "Question 154176: 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. Please help me with this problem I am having a difficult time with it.Thank you \n" ); document.write( "
Algebra.Com's Answer #113485 by orca(409)\"\" \"About 
You can put this solution on YOUR website!
Let x be the number of 3 cent stamps.
\n" ); document.write( "Then the number of 8 cent stamps is 3x - 1.
\n" ); document.write( "The number of 15 cent stamp is (3x - 1) - 6 = 3x - 7
\n" ); document.write( "*********************************************************
\n" ); document.write( "The value of the 3 cent stamps is 3x.
\n" ); document.write( "The value of the 8 cent stamps is 8(3x - 1).
\n" ); document.write( "The value of the 15 cent stamps is 15(3x - 7).
\n" ); document.write( "*********************************************************
\n" ); document.write( "The total value is 3x + 8(3x - 1) + 15(3x - 7)
\n" ); document.write( "*********************************************************
\n" ); document.write( "As the total value is $2.47 = 247 cents, we have
\n" ); document.write( "3x + 8(3x - 1) + 15(3x - 7) = 247
\n" ); document.write( "*********************************************************\r
\n" ); document.write( "\n" ); document.write( "Solving the equation for x, we obtain:
\n" ); document.write( "3x + 24x - 8 + 45x - 105 = 247
\n" ); document.write( "72x - 113 = 247
\n" ); document.write( "72x = 360
\n" ); document.write( "x = 5.
\n" ); document.write( "So
\n" ); document.write( "the number of 3 cent stamps is 5.
\n" ); document.write( "the number of 8 cent stamps is 3x - 1 = 3*5 - 1 = 14.
\n" ); document.write( "the number of 15 cent stamps is 3x - 7 = 3*5 - 7 = 8
\n" ); document.write( " \n" ); document.write( "
\n" );