SOLUTION: Hi math enthusiasts,
I have been trying to work this linear system word problem and just cannot figure it out. I must be missing something! Please help!
In your chemistry cla
Question 970057: Hi math enthusiasts,
I have been trying to work this linear system word problem and just cannot figure it out. I must be missing something! Please help!
In your chemistry class you have a bottle of 5% boric acid solution and a bottle of 2% boric acid solution. You need 60ml of a 3% boric acid solution for an experiment. How much of each solution do you need to mix together?
I tried to work it like this:
X=5
Y=2
X+Y=60
y= -x+60
5x+2y=3
I got this for the solutions:
X= -20, Y=80
Since x is negative, I know this is not correct. Please show me how to set this up. Thank you Found 2 solutions by AnlytcPhil, Fombitz:Answer by AnlytcPhil(1806) (Show Source):
Your equation
5x+2y=3 is wrong.
It came from
0.05x+0.2y=0.03 <-- that says (% acid) + (% acid) = %
When you add acid to acid you get acid, not "percent"!
is wrong
It should be
5x+2y=18
which comes from:
0.05x+0.02y=.03(60)
0.05x+0.02y=1.8
5x+2y=18
Now you can finish.
Edwin
You can put this solution on YOUR website! Let X be the amount of 5% solution and Y be the amount of 2% solution.
Total volume equation:
Total concentration equation:
Multiply the first equation by 2 and subtract from the second,
So then,
