document.write( "Question 947879: A cruise called ultimate comfort charges two different rates for seats.
\n" ); document.write( "currently ˏ ratio of the number of tickets sold at the higher rate compared to the number of tickets sold at lower rate is 3:11.
\n" ); document.write( "however ˏonce the recession beganˏ2000 fewer tickets were sold at the higher rate and 1200 more tickets at the lower rate.
\n" ); document.write( "as a result the ratio during the recession was 1 : 5
\n" ); document.write( "find the number of each type of ticket sold originally
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #578606 by MathTherapy(10556) $\"\"$ $\"About$

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A cruise called ultimate comfort charges two different rates for seats.
\n" ); document.write( "currently ˏ ratio of the number of tickets sold at the higher rate compared to the number of tickets sold at lower rate is 3:11.
\n" ); document.write( "however ˏonce the recession beganˏ2000 fewer tickets were sold at the higher rate and 1200 more tickets at the lower rate.
\n" ); document.write( "as a result the ratio during the recession was 1 : 5
\n" ); document.write( "find the number of each type of ticket sold originally
\n" ); document.write( "

Let multiplicative factor for original 3:11 ratio, be x
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document.write( "Then, 3x of the higher rate tickets, and 11x of the lower rate tickets were sold, initially
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document.write( "When the recession began, 2,000 fewer higher-rate tickets were sold, so we get: 3x – 2,000
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document.write( "Also, 1,200 more lower-rate tickets were sold, so we get: 11x + 1,200
\n" );
document.write( "With recession ratio being  or , we get: 
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document.write( "5(3x – 2,000) = 1(11x + 1,200) ------- Cross-multiplying
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document.write( "15x – 10,000 = 11x + 1,200
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document.write( "15x – 11x = 1,200 + 10,000
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document.write( "4x = 11,200
\n" );
document.write( "x, or multiplicative factor = , or 2,800
\n" );
document.write( "Therefore, original number of higher-rate tickets sold were: 3(2,800), or  
\n" );
document.write( "Also, original number of lower-rate tickets sold were: 11(2,800), or  \n" );
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