SOLUTION: A chemist has two acid solutions, one that contains 14.0% acid and another with 27.0% acid. How many litres of each must be mixed to make 250 litres of solution containing 17.64% a

Algebra ->  Proportions -> SOLUTION: A chemist has two acid solutions, one that contains 14.0% acid and another with 27.0% acid. How many litres of each must be mixed to make 250 litres of solution containing 17.64% a      Log On


   

Question 909708: A chemist has two acid solutions, one that contains 14.0% acid and another with 27.0% acid. How many litres of each must be mixed to make 250 litres of solution containing 17.64% acid?
Found 2 solutions by josgarithmetic, richwmiller:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
You are looking for something this way:

u for volume of 14%
v for volume of 27%

%2814u%2B27v%29%2F250=17.64 and u%2Bv=250

Your answer must use no more than three significant figures!

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a+b=250,
0.14*a+0.27*b=0.1764*250
a=250-b
0.14*(250-b)+0.27*b=44.1
35-0.14b+0.27*b=44.1
0.13*b=9.1
b=70.0
a=250-b
a=180 liter at 14%
b=70.0 liter at 27%
check
0.14*180+0.27*70.0=0.1764*250
25.2+18.9=44.1
44.1=44.1
ok
codemx1