A chemist has three different acid solutions. The first acid solution contains 25 % acid, the second contains 35 % and the third contains 55 %. He wants to use all three solutions to obtain a mixture of 70 liters containing 45 % acid, using 3 times as much of the 55 % solution as the 35% solution. How many liters of each solution should be used? The chemist should use liters of 25 % solution, liters of 35 % solution, and liters of 55 % solution.

A chemist has three different acid solutions. The first acid solution contains 25 % acid, the second contains 35 % and the third contains 55 %. He wants to use all three solutions to obtain a mixture of 70 liters containing 45 % acid, using 3 times as much of the 55 % solution as the 35% solution. How many liters of each solution should be used? The chemist should use liters of 25 % solution, liters of 35 % solution, and liters of 55 % solution.

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter5: Systems Of Linear Equations

Section5.5: Solve Mixture Applications With Systems Of Equations

Problem 5.96TI: Translate to a system of equations and solve: Anatole needs to make 250 milliliters of a 25%...

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Question

A chemist has three different acid solutions. The first acid solution contains 25 % acid, the second
contains 35 % and the third contains 55 %. He wants to use all three solutions to obtain a mixture
of 70 liters containing 45 % acid, using 3 times as much of the 55 % solution as the 35% solution.
How many liters of each solution should be used?
The chemist should use
liters of 25 % solution,
liters of 35 %
solution, and
liters of 55 % solution.

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