document.write( "Question 715038: \r
\n" ); document.write( "\n" ); document.write( "The sum of John and Kevin's age is 74. In three years, John will be three times as old as Kevin. How old are John and Kevin now?\r
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\n" ); document.write( "\n" ); document.write( "A movie theater charges $ 10 for an adult ticket and 6 $ for a child's ticket. The screening of a new movie had attendance of 335 patrons ( adults and children) and generated revenue of $ 2 590. How many adults and how many children attended the movie screening?
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Algebra.Com's Answer #439174 by checkley79(3341)\"\" \"About 
You can put this solution on YOUR website!
J+K=74
\n" ); document.write( "J+3=3(K+3)
\n" ); document.write( "J+3=3K+9
\n" ); document.write( "J=3K+9-3
\n" ); document.write( "J=3K+6
\n" ); document.write( "(3K+6)+K=74
\n" ); document.write( "4K=74-6
\n" ); document.write( "4K=68
\n" ); document.write( "X=68/4
\n" ); document.write( "K=17 AGE OF KEVIN NOW.
\n" ); document.write( "J+17=74
\n" ); document.write( "J=74-17
\n" ); document.write( "J=57 AGE OF JOHN NOW.
\n" ); document.write( "PROOF:
\n" ); document.write( "57+3=3(17+3)
\n" ); document.write( "60=3*20
\n" ); document.write( "60=60
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\n" ); document.write( "A+C=335
\n" ); document.write( "A=335-C
\n" ); document.write( "10A+6C=2,590
\n" ); document.write( "10(335-C)+6C=2,590
\n" ); document.write( "3,350-10C+6C=2,590
\n" ); document.write( "-4C=2,590-3,350
\n" ); document.write( "-4C=-760
\n" ); document.write( "C=-760/-4
\n" ); document.write( "C=190 CHILDREN'S TICKETS WERE SOLD.
\n" ); document.write( "A+190=335
\n" ); document.write( "A=335-190
\n" ); document.write( "A=145 ADULT TICKETS WERE SOLD.
\n" ); document.write( "PROOF:
\n" ); document.write( "10*145+190*6=2,590
\n" ); document.write( "1,450+1,140=2,590
\n" ); document.write( "2,590=2,590\r
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