document.write( "Question 694293: One hundred tickets were sold to a baseball games, some at $3, $4, and $5. The total receipts from the sale of the tickets was $380. How many $5 tickets were sold if twice as many $3 tickets were sold as $5 tickets? \n" ); document.write( "
Algebra.Com's Answer #427942 by ankor@dixie-net.com(22740)\"\" \"About 
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One hundred tickets were sold to a baseball games, some at $3, $4, and $5.
\n" ); document.write( " The total receipts from the sale of the tickets was $380.
\n" ); document.write( " How many $5 tickets were sold if twice as many $3 tickets were sold as $5 tickets?
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\n" ); document.write( "a = no. of $3 tickets
\n" ); document.write( "b = no. of $4
\n" ); document.write( "c = no. of $5
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement:
\n" ); document.write( ":
\n" ); document.write( "\"One hundred tickets were sold to a baseball games,\"
\n" ); document.write( "a + b + c = 100
\n" ); document.write( ":
\n" ); document.write( "\"The total receipts from the sale of the tickets was $380.\"
\n" ); document.write( "3a + 4b + 5c = 380
\n" ); document.write( ":
\n" ); document.write( "\"twice as many $3 tickets were sold as $5 tickets?\"
\n" ); document.write( "a = 2c
\n" ); document.write( ":
\n" ); document.write( "Replace a with 2c in the first and second equations.
\n" ); document.write( "2c + b + c = 100
\n" ); document.write( "b + 3c = 100
\n" ); document.write( "and
\n" ); document.write( "3(2c) + 4b + 5c = 380
\n" ); document.write( "4b + 11c = 380
\n" ); document.write( ":
\n" ); document.write( "Multiply eq: b + 3c = 100, by 4, subtract the above equation
\n" ); document.write( "4b + 12c = 400
\n" ); document.write( "4b + 11c = 380
\n" ); document.write( "---------------subtracting eliminates b, find c
\n" ); document.write( "c = 20 each $5 tickets were sold
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "You can find a and b, then confirm the solution in both equations
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