How much of each chemical is needed to make 750 kg of the plant food, if a plant food is to be made from three chemicals and the mix must include 60% of the first and second chemicals, the second and third chemicals must be in a ratio of 4 to 3 by weight?
1 Answer
1st chemical 50 kg, 2nd chemical 400 kg, 3rd chemical 300 kg
Explanation:
Let
#a+b+c= 750# and
#a+b= 60% "of 750" = 750*60/100 = 450#
Clearly
Now ratio of
#b/c= 4/3 <=> 3b = 4c#
Since
#3b= 3(400)= 1200#
Hence
#a+b =450 implies a= 450-400 = "50 kg"#
Thus chemicals