document.write( "Question 248836: bill & jose's discount cinema sold adults' tickets for $4.10 each and children's tickets for $2.70 each. last tuesday, a total of $331.30 was collected from 89 movie watchers. how many of each type of ticket were sold? (let x represent the number of adults' tickets and y represent the number of children's tickets.)
\n" ); document.write( "4. solve by applying the quadratic formula. show your work. 3x2 - 2x + 3 = 0. \n" ); document.write( "

Algebra.Com's Answer #181319 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"x\"$ = number of adult tickets sold
\n" ); document.write( "Let $\"y\"$ = number of children's tickets sold
\n" ); document.write( "given:
\n" ); document.write( " $\"410x+%2B+270y+=+33130\"$ (in cents)
\n" ); document.write( "(1) $\"41x+%2B+27y+=+3313\"$
\n" ); document.write( "(2) $\"x+%2B+y+=+89\"$
\n" ); document.write( "Multiply both sides of (2) by $\"27\"$
\n" ); document.write( "and subtract from (1)
\n" ); document.write( "(1) $\"41x+%2B+27y+=+3313\"$
\n" ); document.write( "(2) $\"-27x+-+27y+=+-2403\"$
\n" ); document.write( " $\"14x+=+910\"$
\n" ); document.write( " $\"x+=+65\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"x+%2B+y+=+89\"$
\n" ); document.write( " $\"65+%2B+y+=+89\"$
\n" ); document.write( " $\"y+=+89+-+65\"$
\n" ); document.write( " $\"y+=+24\"$
\n" ); document.write( "65 adult tickets and 24 children's tickets were sold
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"41x+%2B+27y+=+3313\"$
\n" ); document.write( " $\"41%2A65+%2B+27%2A24+=+3313\"$
\n" ); document.write( " $\"2665+%2B+648+=+3313\"$
\n" ); document.write( " $\"3313+=+3313\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );