.
The amount of the pure alcohol in 1.75 L of the 18% solution is 0.18*1.75 liters = 0.315 liters.
This volume of the pure alcohol will not change and will remain the same after adding water.
So, you need to add, let say, x liter of water to get
= 0.05 (which is 5% of concentration of the final mixture)
So, you need solve this equation.
For it, multiply the both sides of the equation by (0.315+x) to get
0.315 = 0.05*(0.315 + x).
Simplify and solve for x:
0.315 = 0.05*0.315 + 0.05x
0.315 - 0.05*0.315 = 0.05x
x = = 5.985.
Answer. You need to add 5.985 liters of water.
Check. = 0.05. ! Correct !
Solved.
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For introductory lessons covering various types of mixture word problems see
- Mixture problems
- More Mixture problems
- Solving typical word problems on mixtures for solutions
- Typical word problems on mixtures from the archive
in this site.
You will find there ALL TYPICAL mixture problems with different methods of solutions,
explained at different levels of detalization, from very detailed to very short.
Read them and become an expert in solution mixture word problems.
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this textbook in the section "Word problems" under the topic "Mixture problems".
Save the link to this online textbook together with its description
Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson
to your archive and use it when it is needed.