SOLUTION: What quantity of 75 per cent acid solution must be mixed with a 20 per cent solution to produce 440 mL of a 50 per cent solution?

Algebra.Com
Question 892649: What quantity of 75 per cent acid solution must be mixed with a 20 per cent solution to produce 440 mL of a 50 per cent solution?

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
The exercise problem is this kind of situation:

Mixing two concentrations for known amount of mixture - http://www.algebra.com/tutors/Mixtures%3A-All-in-Symbols.lesson?content_action=show_dev
A general solution derivation is included in the lesson.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

What quantity of 75 per cent acid solution must be mixed with a 20 per cent solution to produce 440 mL of a 50 per cent solution?

Let amount of 75% solution to be mixed, be S
Then amount of 20% solution is: 440 – S
Thus, we have: .75(S) + .2(440 – S) = .5(440)
.75S + 88 - .2S = 220
.75S - .2S = 220 – 88
.55S = 132
S, or amount of 75% solution to be mixed = , or mL
You can do the check!!
If you need a complete and detailed solution, let me know!!
Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.
Further help is available, online or in-person, for a fee, obviously.
For FREE info and answers to questions about the ASVAB exam, the NYS 3 – 8 city/state wide exams,GENERAL
MATH and HOMEWORK QUESTIONS, or MATH QUESTIONS related to the Regents Integrated Algebra,
Regents Geometry, Regents Algebra 2/Trigonometry, SHSAT, COOP/HSPT/TACHS, PSAT, SAT, ACT, SSAT/ISEE,
GRE, CLEP, and the TASC/GED, you can visit: http://asvabstudyzone.freeforums.net/.
RELATED QUESTIONS

What quantity of 75 per cent acid solution must be mixed with a 30 per cent solution to... (answered by stanbon)
What quantity of 75 per cent acid solution must be mixed with a 25 per cent solution to... (answered by josmiceli)
What quantity of 75 per cent acid solution must be mixed with a 25 solution to produce... (answered by rfer)
What quantity of 75 per cent acid solution must be mixed with a 30 percent solution to... (answered by checkley77)
What quantity of 65 per cent acid solution must be mixed with a 25 per cent solution to... (answered by ankor@dixie-net.com)
What quantity of 60 per cent acid solution must be mixed with a 30 per cent solution to... (answered by modi.kk91)
What quantity of 70 per cent acid solution must be mixed with a 20 percent solution to... (answered by checkley77)
What quantity of 60 per cent acid solution must be mixed with a 20 percent solution to... (answered by jrfrunner)
What quantity of 60 per cent acid solution must be mixed with a 25 percent solution to... (answered by Alan3354)