document.write( "Question 1191386: Translate to a system of equations and solve.
\n" ); document.write( "Tickets for a baseball game are $69 for Main Level seats and $39 for Terrace Level seats. A group of sixteen friends went to the game and spent a total of $714 for the tickets. How many of Main Level and how many Terrace Level tickets did they buy?\r
\n" ); document.write( "\n" ); document.write( "Main Level tickets-
\n" ); document.write( "Terrace Level tickets- \n" ); document.write( "
Algebra.Com's Answer #823195 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
x = number of main level tickets.
\n" ); document.write( "y = number of terrace level tickets.
\n" ); document.write( "your two equations are:
\n" ); document.write( "x + y = 16
\n" ); document.write( "69x + 39y = 714
\n" ); document.write( "multiply both sides of the first equation by 69 and leave the second equation as is to get:
\n" ); document.write( "69x + 69y = 1104
\n" ); document.write( "69x + 39y = 714
\n" ); document.write( "subtract the second equation from the first to get:
\n" ); document.write( "30y = 390
\n" ); document.write( "solve for y to get:
\n" ); document.write( "y = 13
\n" ); document.write( "solve for x from x + y = 16 to get:
\n" ); document.write( "x = 3
\n" ); document.write( "replace x and y with 3 and 13 in the original equations to get:
\n" ); document.write( "x + y = 16 becomes 3 + 13 = 16 which becomes 16 = 16.
\n" ); document.write( "69x + 39y = 714 becomes 207 + 507 = 714 which becomes 714 = 714.
\n" ); document.write( "this confirms the solution is correct.
\n" ); document.write( "your solution is that 3 main level tickets and 13 terrace level tickets.
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