SOLUTION: A landscape supplier buys 2 tonnes of fertiliser and fills and equal number of plastic bags (different sizes weighing differently) for resale. How many bags of each size will he ha

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Question 1101208: A landscape supplier buys 2 tonnes of fertiliser and fills and equal number of plastic bags (different sizes weighing differently) for resale. How many bags of each size will he have if:
a) he fills 2 kg and 3kg bags?
b) he fills 2kg, 3kg and 5 kg bags?
c) he fills 2kg, 3kg, 5kg and 10 kg bags?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
A tonne is 2000 kg.
The key is that the number of bags is equal for all sizes
a)
2x+3x=2000
5x=2000
x=2000/5=400
800 kg of 2 kg bags and 1200 kgs of 3 kg bags (400 bags of each size)
b)
2x+ 3x +5x=2000
10x=2000
x=200
2x=400 kgs of 2 kg bags (200 bags of each size)
c)
2+3+5+10 =20
2000/20=100 bags of each size