document.write( "Question 3402: I've tried many times to find the answer... and I've also never had a real big thing for math that's why I'm in summer school right now... If I could get any help at all it would be great, and maybe a brief x-pla. on how it's to be done
\n" ); document.write( "\"A theater sells children's tickets for $4 and adult tickets for $7. One night 575 tickets worth $3575 were sold.
\n" ); document.write( "How many adults and children bought tickets\"
\n" ); document.write( "Thanks Many
\n" ); document.write( "Matt McIvor
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Algebra.Com's Answer #1481 by drglass(89)\"\" \"About 
You can put this solution on YOUR website!
Basically the same way you would solve otherwise.

\n" ); document.write( "3x-2.5y=7.125

\n" ); document.write( "2.5x-3y=7.3125
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\n" ); document.write( "\n" ); document.write( "You should eleminate x or y and there is no particular advantage in picking one or the other in this case. So, let's pick x and use elimination:

\n" ); document.write( "Multiply the first equation by \"-2.5%2F3\" and we get:
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\n" ); document.write( "\n" ); document.write( "Now add this to the second equation and we get

\n" ); document.write( "\"-%282.75%2F3%29y+=+1.375\"

\n" ); document.write( "Divide either side by -2.75/3 and we get y = -1.5. Substitute this value of y in to the first equation and we get x = 1.125.
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\n" ); document.write( "It is important to verify these numbers using the original equations:

\n" ); document.write( "3x-2.5y=7.125 and

\n" ); document.write( "2.5x-3y=7.3125

\n" ); document.write( "become
\n" ); document.write( "3(1.125)-2.5(-1.5) = 3.375 + 3.75 = 7.125 and

\n" ); document.write( "2.5(1.125)-3(-1.5) = 2.8125 + 4.5 = 7.3125
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