document.write( "Question 971913: There are 100 seats in a cinema.some are luxury seats costing €2 the rest are ordinary seats costing €1 each. When the cinema is full the takings come to a total of €170 . How many seats are luxury
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Algebra.Com's Answer #594335 by Edwin McCravy(20062) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Let the number of luxury seats be x.\r\n" );
document.write( "Then the number of ordinary seats, using\r\n" );
document.write( "ONE PART = TOTAL MINUS OTHER PART,\r\n" );
document.write( "is 100-x.\r\n" );
document.write( "                      taking     takings\r\n" );
document.write( "Type       Number      from      from\r\n" );
document.write( " of          of        EACH       ALL\r\n" );
document.write( "seat        seats      seat      seats\r\n" );
document.write( "-------------------------------------------\r\n" );
document.write( "luxury       x          €2       €2x\r\n" );
document.write( "ordinary  100-x         €1       €1(100-x)\r\n" );
document.write( "-------------------------------------------\r\n" );
document.write( "TOTALS      100      -----       €1700\r\n" );
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document.write( " The equation comes from the column on the right\r\n" );
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document.write( "  \r\n" );
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document.write( "   €2x + 1€(100-x) = €170\r\n" );
document.write( "     \r\n" );
document.write( "      2x + 100 - x = 170\r\n" );
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document.write( "           x + 100 = 170\r\n" );
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document.write( "                 x = 70 = the number of luxury seat.\r\n" );
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document.write( "The number of ordinary seats is 100-x or 100-70 or 30 ordinary seats.\r\n" );
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document.write( "Checking:  70 luxury seats took in €1400 and 30 ordinary seats took in €300\r\n" );
document.write( "            That's 100 seats.\r\n" );
document.write( "            And indeed €1400 + €300 = €1700\r\n" );
document.write( "Edwin

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