document.write( "Question 1056875: Dave sold 40 tickets for a concert. He sold x tickets at $2 each. The rest of the tickets he sold for $3 each. If he collected $88, how much of each type of ticket did he sell?
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Algebra.Com's Answer #671924 by math_helper(2461)\"\" \"About 
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Let
\n" ); document.write( " n = number sold at $2 each
\n" ); document.write( " k = number sold at $3 each\r
\n" ); document.write( "\n" ); document.write( " Two unknowns, so we're looking for two equations\r
\n" ); document.write( "\n" ); document.write( " n + k = 40 (Dave sold 40 tickets)
\n" ); document.write( " 2n + 3k = 88 (He collected $88)\r
\n" ); document.write( "\n" ); document.write( " From the top eqn, k = 40-n, substitute this for k in the bottom eqn:\r
\n" ); document.write( "\n" ); document.write( " 2n + 3(40- n) = 88
\n" ); document.write( " 2n + 120 - 3n = 88
\n" ); document.write( " -n = -32
\n" ); document.write( " n = 32 (sold 32 tickets at $2 each)
\n" ); document.write( " k = 8 (sold 8 tickets at $3 each)\r
\n" ); document.write( "\n" ); document.write( "Check: 8*3 + 32*2 = 24 + 64 = 88 (ok)\r
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