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)![]() ![]() You can put this solution on YOUR website! 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? \n" ); document.write( "; \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 \n" ); document.write( " |