document.write( "Question 195316: Tickets for a concert were sold to adults for $3 and to students for $2. If the total receipts were $824 and twice as many adult tickets were sold, then how many for each were sold? \n" ); document.write( "

Algebra.Com's Answer #146530 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Tickets for a concert were sold to adults for $3 and to students for $2.
\n" ); document.write( " If the total receipts were $824 and twice as many adult tickets were sold,
\n" ); document.write( " then how many for each were sold?
\n" ); document.write( ":
\n" ); document.write( "a = no. of adults, s = no. of students
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement
\n" ); document.write( ":
\n" ); document.write( "\"Tickets for a concert were sold to adults for $3 and to students for $2.
\n" ); document.write( " If the total receipts were $824\"
\n" ); document.write( "3a + 2s = 824
\n" ); document.write( ":
\n" ); document.write( "\" and twice as many adult tickets were sold,\"
\n" ); document.write( "a = 2s
\n" ); document.write( ":
\n" ); document.write( " then how many for each were sold?
\n" ); document.write( ":
\n" ); document.write( "Substitute 2s for a in the 1st equation
\n" ); document.write( "3(2s) + 2s = 824
\n" ); document.write( "6s + 2s = 824
\n" ); document.write( "8s = 824
\n" ); document.write( "s = $\"824%2F8\"$
\n" ); document.write( "s = 103 student tickets were sold
\n" ); document.write( "then
\n" ); document.write( "a = 2(103)
\n" ); document.write( "a = 206 adult tickets sold
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution using the 1st equation
\n" ); document.write( "3(206) + 2(103) = 824
\n" ); document.write( "618 + 206 = 824 \n" ); document.write( "

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