document.write( "Question 111869: I am working on the following problem and hope I did it right.
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document.write( "Adult tickets for a play cost $15 and child tickets cost $6. If there were 33 people at a performatnce and the theater collected $360 from ticket sales, how many children attended the play?
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document.write( "Let X= Adult tix
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document.write( "Let Y= Child tix
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document.write( "1x+1y=33
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document.write( "15x+6y=360\r
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document.write( "Then I had to multiply the first equation by 15.
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document.write( "(15)(1x+1y) = 33(15)
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document.write( "15x+15y= 495
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document.write( "Then I had to multiply the other equation by -1
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document.write( "(-1)(15x+6y) =360(-1)
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document.write( "-15x-6y=-360
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document.write( "Then I had to add both equations together.
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document.write( "15x+15y=495
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document.write( "-15x-6y=-360 the result was
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document.write( "9y=135
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document.write( "I divided both sides by 9
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document.write( "and came up with y=15.
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document.write( "Is that correct?
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document.write( "I tried to check my work by inputting
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document.write( "1x+1(15)=33
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document.write( "1x+15=33
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document.write( "then subtracted 15 from both sides and came up with x=18.
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document.write( "When I tried to check my work
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document.write( "15(15) +6(18)this is supposed to =360 and I don't think that came out right.
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document.write( "What did I do wrong?
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document.write( "Thank you.
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document.write( "Tracy
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document.write( "
Algebra.Com's Answer #81605 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! YOU WERE OK UNTIL YOU MIXED UP THE X=18 & Y=15 \n" ); document.write( "15*18+6*15=360 \n" ); document.write( "279+90=360 \n" ); document.write( "360=360 \n" ); document.write( " \n" ); document.write( " |