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A laboratory technician needs to make a 36-liter batch of a 40% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 10% to get the desired concentration?


How many liters of pure acid solution?

How many liters of the 10% acid solution?

Respuesta :

Answer: The values of x and y are x = 12 and y = 24.

Step-by-step explanation:

Let x liter pure acid and y liter 10% acidic solution.  

[tex]x + y = 36[/tex] ------------------(1)

[tex]x + 0.10y = 0.40\times 36=14.4[/tex] -----------------(2)

solve for x and y  

From eq(1), we get that

[tex]x=36-y[/tex]

Put in eq(2), we get

[tex]36-y+0.10y=14.4\\\\-0.9y=14.4-36\\\\-0.9y=-21.6\\\\y=\dfrac{21.6}{0.9}\\\\y=24[/tex]

x=36-24=12

Hence, the values of x and y are x = 12 and y = 24.