SOLUTION: A chemist has three different acid solutions. The first acid solution contains 20% acid, the second contains 35% and the third contains 55%. They want to use all three solutions to

Question 1191884: A chemist has three different acid solutions. The first acid solution contains 20% acid, the second contains 35% and the third contains 55%. They want to use all three solutions to obtain a mixture of 216 liters containing 30% acid, using 3 times as much of the 55% solution as the 35% solution. How many liters of each solution should be used?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!

CONC. % QTY VOLUME L PURE 20 216-4v 0.2(216-4v) 35 v 0.35v 55 3v 0.55*3v 30 216 0.2(216-4v)+0.35v+0.55*3v

Solve this for v.
.
.
.
Answer by ikleyn(52775) (Show Source): You can put this solution on YOUR website!
.
A chemist has three different acid solutions. The first acid solution contains 20% acid,
the second contains 35% and the third contains 55%.
They want to use all three solutions to obtain a mixture of 216 liters containing 30% acid,
using 3 times as much of the 55% solution as the 35% solution. How many liters of each solution should be used?
~~~~~~~~~~~~~~~~~

35% solution: x liters; 55% solution: 3x liters; 20% acid: 216 - x - 3x = 216 - 4x liters. The pure acid in ingredients is the same as the pure acid in the mixture 0.35x + 0.55*(3x) + 0.2*(216-4x) = 0.3*216. From this equation x = = 18. ANSWER. 18 liters of the 35% solution; 3*18 = 54 liters of the 55% solution and (216-4*18) = 144 liters of the 2-% solution.

Solved (using one single equation in one unknown).

RELATED QUESTIONS
A chemist has three different acid solutions. The first acid solution contains 25 %... (answered by ikleyn)
A chemist has three different acid solutions. The first acid solution contains 20 %... (answered by ikleyn,josgarithmetic,greenestamps)
A chemist has three different acid solutions. The first acid solution contains 25% acid,... (answered by josgarithmetic)
A chemist has three different acid solutions. The first acid solution contains 25% acid,... (answered by josgarithmetic,stanbon)
A chemist has three different acid solutions. The first acid solution contains 25%... (answered by josgarithmetic)
A chemist has three different acid solutions. The first acid solution contains 15 % acid, (answered by stanbon,josmiceli)
A chemist has three different acid solutions. The first acid solution contains 15% acid,... (answered by Boreal,MathTherapy)
A chemist has three different acid solutions. The first acid solution contains 25% acid,... (answered by ewatrrr)
A chemist has three different acid solutions. The first acid solution contains 15% acid,... (answered by josgarithmetic,greenestamps)