document.write( "Question 1003004: Can you help me solve this problem? 2000 tickets were sold for a ball. Members tickets were sold for $10 and non-member tickets were sold for $20. A total of $35,000 was collected. How many of each type of ticket was sold? \n" ); document.write( "
Algebra.Com's Answer #619864 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! let m = no. of member tickets sold \n" ); document.write( "let n = no. of non-member \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement \n" ); document.write( ": \n" ); document.write( "2000 tickets were sold for a ball. \n" ); document.write( "m + n = 2000 \n" ); document.write( "m = (2000-n); we can use this form for substitution \n" ); document.write( ": \n" ); document.write( "Members tickets were sold for $10 and non-member tickets were sold for $20. A total of $35,000 was collected. \n" ); document.write( "10m + 20n = 35000 \n" ); document.write( "Replace m with (2000-n) \n" ); document.write( "10(2000-n) + 20n = 35000 \n" ); document.write( "20000 - 10n + 20n = 35000 \n" ); document.write( "10n = 35000 - 20000 \n" ); document.write( "10n = 15000 \n" ); document.write( "n = 15000/10 \n" ); document.write( "n = 1500 non-members \n" ); document.write( ": \n" ); document.write( "Find the no. of members \n" ); document.write( "m = 2000 - 1500 \n" ); document.write( "m = 500 members \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check the solution in the equation: 10m + 20n = 35000 \n" ); document.write( "10(500) + 20(1500) = \n" ); document.write( "5000 + 30000 = 35000\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |