SOLUTION: 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
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 Answer by Cromlix(4381) (Show Source):
You can put this solution on YOUR website! Hi there,
An aeroplane can carry 400 passengers in total
x + y = 400.......(1)
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.
30x + 20y = 9200....(2)
...........
x + y = 400.........(1)
30x + 20y = 9200....(2)
Multiply (1) by 30
30x + 30y = 12000....(1)
30x + 20y = 9200....(2)
Subtract (2) from (1)
.....10y = 2800
.......y = 280
Substitute y = 280
into (1)
x + y = 400
x + 280 = 400
x = 400 - 280
x = 120
120 First Class
280 Second Class
Hope this helps:-)
