document.write( "Question 87822: The total receipts for 900 tickets were 95000. If students paid 75php per ticket, and non-students paid 125php per ticket, how many student-tickets were sold? \n" ); document.write( "
Algebra.Com's Answer #63753 by tutorcecilia(2152)\"\" \"About 
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Let x = students
\n" ); document.write( "Let y = non-students
\n" ); document.write( "x + y = 900
\n" ); document.write( "Let y = 900 - x
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\n" ); document.write( "75x + 125y = 95,000
\n" ); document.write( "75x + 125 (900-x) = 95, 000 [Substitute (900-x) for (y) and simplify]
\n" ); document.write( "75x + 112,500 - 125x = 95,000 [simplify the terms]
\n" ); document.write( "75x + 112,500 - 125x = 95,000 [combine like-terms]
\n" ); document.write( "-50x + 112,500 = 95, 000 [solve for the x-term]
\n" ); document.write( "-50x + 112,500 - 1112,500 = 95,000 - 112,500
\n" ); document.write( "-50x = -17,500
\n" ); document.write( "-50x/-50=-17,500/-50
\n" ); document.write( "x=350
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\n" ); document.write( "Plug (x=350) into the original equation and solve for the y-term
\n" ); document.write( "x+y=900
\n" ); document.write( "350-y=900
\n" ); document.write( "y= 550
\n" ); document.write( ".
\n" ); document.write( "Check by plugging in the x and y values into the second equation.
\n" ); document.write( "75x + 125y = 95,000
\n" ); document.write( "75(350) + 125(550) = 95,000 [simplify]
\n" ); document.write( "95,000=95,000 [checks out]\r
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