Problema Solution
Gerry mixes different solutions with concentrations of 25%, 40% and 50% to get 200 liters of a 32% solution. If he uses twice as much of the 25% solution as of the 40% solution, find how many liters of each kind he uses.
Answer provided by our tutors
Let x=amount of the 40% solution
Then 2x=amount of the 25% solution
\(200-3x)=amount of 50% solution
0.40x+0.25*2x+0.50(200-3x)=0.32*200\
0.40x+0.50x+100-1.50x=64
-0.60x=-100+64
-0.60x=-36
x=60 liters-----amount of 40% solution
2x=120 liters--amount of 25% solution
200-3x=200-180=20 liters----amount of 50% w