Emanuel needs to produce 4000 milliliters of 72.5% alcohol solution.

Question

Emanuel needs to produce 4000 milliliters of 72.5% alcohol solution. At his disposal he has 20% alcohol solution and 80% alcohol solution. How much of each does he need in order to produce his desired solution?

Answer 1

Hi Bella,

 

Two main equations:

1. concentration of solution, x is the 20% amount, and y is the 80% amount

0.2x + 0.8y = 0.725(4000 mL)

2. total volume, x is the 20% amount, and y is the 80% amount

x + y = 4000 mL

 

Use systems of equations:

0.2x + 0.8y = 0.725(4000)

- 0.2 (x + y = 4000)

______________________

= 0.6y = 2100 since x goes away 

So y = 3500 mL (80%), then x = 500 mL (20%) since total volume is 4000 mL

 

Feel free to contact me for further help or tutoring! Good luck!

Shijo B.