A chemist has three different acid solutions. The first acid solution contains 25 % acid, the second contains 40 % and the third contains 60 % . He wants to use all three solutions to obtain a mixture of 78 liters containing 45 % acid, using 3 times as much of the 60 % solution as the 40 % solution. How many liters of each solution should be used? The chemist should use liters of 25 % solution, liters of 40 % solution, and liters of 60 % solution.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.3: Solve Mixture Applications With Systems Of Equations
Problem 4.54TI: Translate to a system of equations and solve: Anatole needs to make 250 milliliters of a 25%...
icon
Related questions
Question

A chemist has three different acid solutions. The first acid solution contains 25 % acid, the second
contains 40 % and the third contains 60 % . He wants to use all three solutions to obtain a mixture
of 78 liters containing 45 % acid, using 3 times as much of the 60 % solution as the 40 % solution.
How many liters of each solution should be used?
The chemist should use
liters of 25 % solution,
liters of 40 % solution,
and
liters of 60 % solution.
Transcribed Image Text:A chemist has three different acid solutions. The first acid solution contains 25 % acid, the second contains 40 % and the third contains 60 % . He wants to use all three solutions to obtain a mixture of 78 liters containing 45 % acid, using 3 times as much of the 60 % solution as the 40 % solution. How many liters of each solution should be used? The chemist should use liters of 25 % solution, liters of 40 % solution, and liters of 60 % solution.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage