SOLUTION: [ A 3000 gallon vat contains 1400 gallons of an 8% [acid solution]. Bob is going to add x gallons of an 80% acid solution to vat. Write the concentration of the mixture as a functi

Algebra.Com
Question 817135: [ A 3000 gallon vat contains 1400 gallons of an 8% [acid solution]. Bob is going to add x gallons of an 80% acid solution to vat. Write the concentration of the mixture as a function of x. Help???
Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
volume of acid in the final mixture (gallons):
a = 0.08(1400) + 0.80x
a = 112 + 0.80x
---
concentration of acid in the final mixture (%):
c = ( a / (1400 + x) ) * 100
---
Answer:
concentration of acid in the final mixture (%):
c = ( (112 + 0.80x) / (1400 + x) ) * 100
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Convert fractions, decimals, and percents:
https://sooeet.com/math/fraction-decimal-percent.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php

RELATED QUESTIONS

How many gallons of a 3% acid solution must be mixed with 60 gallons of 10% acid solution (answered by mananth)
How much pure acid should be mixed with 8 gallons of a 50% acid solution in order to get... (answered by josmiceli)
how much pure acid should be mixed with 8 gallons of 50% acid solution to get an 80%... (answered by nerdybill)
how much pure acid should be mixed with 4 gallons of a 60% acid solution in order to get... (answered by robertb)
How many gallons of 5% acid solution should be mixed with 20 gallons of a 10% acid... (answered by stanbon)
How many gallons of 5% acid solution should be mixed with 20 gallons of a 10% acid... (answered by lwsshak3)
A vat contains 27 gallons of water and 9 gallons of acetic acid. How many gallons of... (answered by ptaylor)
How much pure acid should be mixed with 2 gallons of an 80% acid solution in order to get (answered by oberobic)
How much pure acid should be mixed with 5 gallons of of a 60% acid solution in order to... (answered by Alan3354)