document.write( "Question 21041: I know I need two equations I am confused on where to begin. Can someone help?\r
\n" ); document.write( "\n" ); document.write( "Eighty-six passengers rode in an Amtrack train from Boston to Denver. Tickets for regular coach seats $97. Tickets for sleeper car seats $123. The receipts for the trip totaled $9,304. How many passengers purchased each type of ticket?\r
\n" ); document.write( "\n" ); document.write( "Need step by step solution to understand\r
\n" ); document.write( "\n" ); document.write( "On Monday, Harold picked up seven soft drinks and five burgers for his office. He paid $10.08. On Tuesday, Melinda picked up eight burgers and six soft drinks for everyone. She paid $12.28. What is the cost of one soft drink? What is the cost of one burger? \r
\n" ); document.write( "\n" ); document.write( "Tim Duncan scored 35 points in an NBA basketball game without scoring any 3 point shots. He scored 27 times. He made several free throws worth 1 point each and several regular shots from the floor, which were worth 2 points each. How many free throws did he make? How many 2 point shots did he make?
\n" ); document.write( "

Algebra.Com's Answer #10108 by Paul(988)\"\" \"About 
You can put this solution on YOUR website!
1. x+y=86
\n" ); document.write( "y=86-x
\n" ); document.write( "97x+123(86-x)=9304
\n" ); document.write( "97x+10578-123x=9304
\n" ); document.write( "-26x=-1274
\n" ); document.write( "(((-26x/26=-1274/-26}}}
\n" ); document.write( "x=49, 86-49 = 37 About 49 $97 tickects were purchased and 37 $123 dollar tickets were purchased
\n" ); document.write( "--------------------------------------------------------------------------
\n" ); document.write( "2. Let the burgers be x and soft drinks be y
\n" ); document.write( " 7x+5y=10.08
\n" ); document.write( "y=2.016-1.4x
\n" ); document.write( " 8x+6y=12.28
\n" ); document.write( "8x+6(2.012.016-1.4x)=12.28
\n" ); document.write( "8x+12.096-8.4x=12.28
\n" ); document.write( "-0.4x=-0.184
\n" ); document.write( "x=0.46
\n" ); document.write( " Sub in: y=2.016-1.4(0.46)/// y=1.37
\n" ); document.write( "Hence the burger costs $1.37 and the soft crink costs $0.46
\n" ); document.write( "---------------------------------------------------------------------------
\n" ); document.write( "3.Let the one point shot be x and the 2 point shot be y
\n" ); document.write( "x=y=27
\n" ); document.write( "y=27-x
\n" ); document.write( "x+2(27-x)=35
\n" ); document.write( "x+54-2x=35
\n" ); document.write( "-x=-19
\n" ); document.write( "x=19
\n" ); document.write( "y=27-(19)
\n" ); document.write( "y=8
\n" ); document.write( "Hence he scored 19 one pointers and 8 2 pointers\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );