document.write( "Question 419685: Hi tutor, i do not get this question what so ever. It his a problem solving, algebraic question. I really need help. It would be greatly appreciated, thank you so much, may god bless you. Q : 500 tickets for a football game were sold and the total receipts were $105. Some of the tickets sold for $15 and the rest sold for 25cents. Find the number of each sold. ( i am required too provide a equation/formula , write a table i already have that set up : i have it as ticket 1 & ticket two & value, number and amount. & i also would greatly appreciate if you show the work as too how you got the answers, so i can learn from it. Thank you so much. \n" ); document.write( "
Algebra.Com's Answer #293443 by mananth(16946)![]() ![]() You can put this solution on YOUR website! $15 tickets ----- x numbers \n" ); document.write( "$0.25 tickets------y numbers \n" ); document.write( "... \n" ); document.write( "x+y = 500 \n" ); document.write( "15x+0.25y = 105\r \n" ); document.write( "\n" ); document.write( "With dollar !5 ticket the system cannot be solved. you geta negative value \n" ); document.write( "But if you take $0.15 as the value then it is possible to work out.\r \n" ); document.write( "\n" ); document.write( "1 x + 1 y = 500 .............1 \n" ); document.write( "0.15 x + 0.25 y = 105 .............2 \n" ); document.write( " \n" ); document.write( "multiply (1)by 1 \n" ); document.write( "Multiply (2) by -4 \n" ); document.write( "1 x + 1 y = 500 \n" ); document.write( "-0.6 x + -1 y = -420 \n" ); document.write( " \n" ); document.write( "Add the two equations \n" ); document.write( " \n" ); document.write( "0.4 x + 0 y = 80 \n" ); document.write( " \n" ); document.write( "/ 0.4 \n" ); document.write( " \n" ); document.write( "x= 200 $0.15 tickets \n" ); document.write( " \n" ); document.write( "plug value of x in (1) \n" ); document.write( " \n" ); document.write( "1 x + 1 y = 500 \n" ); document.write( "200 + 1 y = 500 \n" ); document.write( " 1 y = 500 + -200 \n" ); document.write( " 1 y = 300 \n" ); document.write( " y = 300 $0.25 ticket \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |