document.write( "Question 224313: (((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 that 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.)))
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document.write( "I have tried every way I can think of to make an equation to solve this problem. I have been unable to do so. If I could get some help to come up with an equation for this problem I would be most grateful. \n" );
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Algebra.Com's Answer #167591 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A stamp collection consists of 3, 8 and 15 cent stamps. \n" ); document.write( "The number of 8 cent stamps is one less than triple the number of 3 cent stamps. \n" ); document.write( "Eq:; e = 3t-1 \n" ); document.write( "--------------------- \n" ); document.write( "The number of 15 cent stamps is six less that the number of 8 cent stamps. \n" ); document.write( "Eq: f = e-6 \n" ); document.write( "--------------------- \n" ); document.write( "The total value of all the stamps is $2.47. \n" ); document.write( "Eq: 3t + 8e + 15f = 247 cents \n" ); document.write( "----------------------------------- \n" ); document.write( "Find the number of 8 cent stamps in the collection. \n" ); document.write( "--- \n" ); document.write( "Rearrange the three equations and solve for \"e\": \n" ); document.write( "3t - e + 0 = 1 \n" ); document.write( "0t + e - f = 6 \n" ); document.write( "3t + 8e+15f = 247 \n" ); document.write( "----------------------- \n" ); document.write( "Subtract the 1st from the 3rd \n" ); document.write( "3t - e + 0 = 1 \n" ); document.write( "0t + e - f = 6 \n" ); document.write( "0t + 9e+15f = 246 \n" ); document.write( "--------------------------- \n" ); document.write( "Add 15 times the 2nd to the 3rd \n" ); document.write( "3t - e + 0 = 1 \n" ); document.write( "0t + e - f = 6 \n" ); document.write( "0t +24e+ 0f = 336 \n" ); document.write( "------------------\r \n" ); document.write( "\n" ); document.write( "Solve the 3rd for \"e\": \n" ); document.write( "24e = 336 \n" ); document.write( "e = 14 (# of 8 cent stamps) \n" ); document.write( "============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |