document.write( "Question 73913: A stamp collection consists of 5, 13, and 18 cent stamps. The number of 13 cent stamps is one less than twice the number of 5 cent stamps. The number of 18 cent stamps is five more than the number of 13 cent stamps. The total value of all the stamps is $2.60. Find the number of 13 cent stamps in the collection \n" ); document.write( "

Algebra.Com's Answer #52897 by uma(370) $\"\"$ $\"About$

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Let the number of 5 cent stamps be x
\n" ); document.write( "Then the number of 13 cent stamps = 2x - 1
\n" ); document.write( "The number of 18 cent stamps = 2x - 1 + 5
\n" ); document.write( " = 2x + 4\r
\n" ); document.write( "\n" ); document.write( "Value of 5 cent stamps = 5x cents
\n" ); document.write( "value of 13 cent stamps = 13(2x-1)
\n" ); document.write( " = 26x - 13 cents
\n" ); document.write( "value of 18 cent stamps = 18(2x + 4)
\n" ); document.write( " = 36x + 72 cents\r
\n" ); document.write( "\n" ); document.write( "Total value is 5x + 26x - 13 + 36x + 72 = 260
\n" ); document.write( "==> 67x + 59 = 260
\n" ); document.write( "==> 67x = 260 - 59
\n" ); document.write( "==> 67x = 201
\n" ); document.write( "==> x = 201/67
\n" ); document.write( " = 3
\n" ); document.write( "so x = 3
\n" ); document.write( "Thus the number of 13 cent stamps = 2x - 1
\n" ); document.write( " = 6 - 1
\n" ); document.write( " = 5\r
\n" ); document.write( "\n" ); document.write( "Good Luck!!! \n" ); document.write( "

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