SOLUTION: a lab technician has a solution of 50% acid and another that is 70% acid. He combines each solution to produce 20 liters of 55% acid solution. Write a system of equations that coul

Algebra ->  Linear-equations -> SOLUTION: a lab technician has a solution of 50% acid and another that is 70% acid. He combines each solution to produce 20 liters of 55% acid solution. Write a system of equations that coul      Log On


   

Question 176304This question is from textbook california Algebra 1
: a lab technician has a solution of 50% acid and another that is 70% acid. He combines each solution to produce 20 liters of 55% acid solution. Write a system of equations that could be used to solve this problem. This question is from textbook california Algebra 1

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
lets call the amount of 50% and 70% acid,f and s, respectively
:
f+s=20............eq 1
.5f+.7s=.55(20)...eq 2
:
rewrite eq 1 to f=20-s and plug that value into eq 2
:
.5(20-s)+.7s=11
:
10-.5s+.7s=11
:
.2s=1
:
highlight%28s=5%29liters of 70% solution
:
highlight%28f=20-5=15%29liters of 50% solution