document.write( "Question 724056: the cinema sold 200 ticket for 22600 totally. if the denomination of the ticket were rs.100 and rs.120. how many ticket each denomination were sold. \n" ); document.write( "

Algebra.Com's Answer #443564 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = number of rs. 100 tickets sold
\n" ); document.write( "Let $\"+b+\"$ = number of rs. 120 tickets sold
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+200+\"$
\n" ); document.write( "(2) $\"+100a+%2B+120b+=+22600+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "(2) $\"+10a+%2B+12b+=+2260+\"$
\n" ); document.write( "(2) $\"+5a+%2B+6b+=+1130+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+5+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+5a+%2B+6b+=+1130+\"$
\n" ); document.write( "(1) $\"+-5a+-+5b+=+-1000+\"$
\n" ); document.write( " $\"+b+=+130+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+%2B+b+=+200+\"$
\n" ); document.write( "(1) $\"+a+=+70+\"$
\n" ); document.write( "70 rs. 100 tickets were sold
\n" ); document.write( "130 rs. 120 tickets were sold
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"+100a+%2B+120b+=+22600+\"$
\n" ); document.write( "(2) $\"+100%2A70+%2B+120%2A130+=+22600+\"$
\n" ); document.write( "(2) $\"+7000+%2B+15600+=+2260+\"$
\n" ); document.write( "(2) $\"+2260+=+2260+\"$
\n" ); document.write( "OK\r
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