document.write( "Question 980207: An aeroplane can carry 400 passengers in total first class are allowed 30kg of luggage and economy class are allowed 20kg of luggage the maximum combined weight for the luggage of all passengers is 9200kg. What is the equation for the total number of passengers \n" ); document.write( "
Algebra.Com's Answer #601395 by Cromlix(4381)\"\" \"About 
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Hi there,
\n" ); document.write( "An aeroplane can carry 400 passengers in total
\n" ); document.write( "x + y = 400.......(1)
\n" ); document.write( "first class are allowed 30kg of luggage and economy class are allowed 20kg of luggage the maximum combined weight for the luggage of all passengers is 9200kg.
\n" ); document.write( "30x + 20y = 9200....(2)
\n" ); document.write( "...........
\n" ); document.write( "x + y = 400.........(1)
\n" ); document.write( "30x + 20y = 9200....(2)
\n" ); document.write( "Multiply (1) by 30
\n" ); document.write( "30x + 30y = 12000....(1)
\n" ); document.write( "30x + 20y = 9200....(2)
\n" ); document.write( "Subtract (2) from (1)
\n" ); document.write( ".....10y = 2800
\n" ); document.write( ".......y = 280
\n" ); document.write( "Substitute y = 280
\n" ); document.write( "into (1)
\n" ); document.write( "x + y = 400
\n" ); document.write( "x + 280 = 400
\n" ); document.write( "x = 400 - 280
\n" ); document.write( "x = 120
\n" ); document.write( "120 First Class
\n" ); document.write( "280 Second Class
\n" ); document.write( "Hope this helps:-) \n" ); document.write( "
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