Ngoc needs to mix a 10% alcohol solution with a 60% alcohol solution to create 200 milliliters of a 22.5% solution. How many milliliters of each solution must Ngoc use?

Respuesta :

Ngoc needs to mix a 10% alcohol solution with a 60% alcohol solution to create 200 milliliters of a 22.5% solution. How many milliliters of each solution must Ngoc use?​

Let

x -----> milliliters of solution at 10%

y -----> milliliters of solution at 60%

we have

x+y=200 ------> equation A

Remember that

10%=0.10

60%=0.60

22.5%=0.225

so

0.10x+0.60y=0.225(200) -----> equation B

solve the system of equation s A and B

Solve by graphing

using a graphing tool

see the attached figure

please wait a minute to draw the system

the solution is the point (150,50)

therefore

milliliters of solution at 10% is 150

milliliters of solution at 60% is 50

Ver imagen EdwynL228005
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