A chemist has three different acid solutions. The first acid solution contains 15 % acid, the second contains 25 % and the third contains 70 %. She wants to use all three solutions to obtain a mixture of 114 liters containing 35 % acid, using 2 times as much of the 70% solution as the 25 % solution. Set up a system of three linear equations in three unknowns that models this scenario, using a, b, and c as the quantities of the 15 %, 25 %, and 70 % mixtures, respectively. An equation representing the total amount of liquid is An equation representing the amount of acid is An equation accounting for "2 times as much of the 70 % solution as the 25 % solution" is Now, solve the system to determine how many liters of each solution should be used. The chemist should use liters of 15% solution, liters of liters of 25 % solution, and 70% solution.
A chemist has three different acid solutions. The first acid solution contains 15 % acid, the second contains 25 % and the third contains 70 %. She wants to use all three solutions to obtain a mixture of 114 liters containing 35 % acid, using 2 times as much of the 70% solution as the 25 % solution. Set up a system of three linear equations in three unknowns that models this scenario, using a, b, and c as the quantities of the 15 %, 25 %, and 70 % mixtures, respectively. An equation representing the total amount of liquid is An equation representing the amount of acid is An equation accounting for "2 times as much of the 70 % solution as the 25 % solution" is Now, solve the system to determine how many liters of each solution should be used. The chemist should use liters of 15% solution, liters of liters of 25 % solution, and 70% solution.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A chemist has three different acid solutions. The first acid
solution contains 15 % acid, the second contains 25 %
and the third contains 70 %. She wants to use all three
solutions to obtain a mixture of 114 liters containing
35 % acid, using 2 times as much of the 70% solution
as the 25 % solution.
Set up a system of three linear equations in three
unknowns that models this scenario, using a, b, and c as
the quantities of the 15%, 25 %, and 70 % mixtures,
respectively.
An equation representing the total amount of liquid is
An equation representing the amount of acid is
An equation accounting for "2 times as much of the 70 %
solution as the 25 % solution" is
Now, solve the system to determine how many liters of
each solution should be used.
The chemist should use
liters of 15% solution,
liters of
liters of 25 % solution, and
70% solution.
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