Pharmacy

At the pharmacy are in one container 20% solution in the second 50% solution of disinfectant. They need to prepare 16 L of the 26-percent solution.

What amount of solution from each container is needed to mix?

Final Answer:

x =  12.8 L
y =  3.2 L

Step-by-step explanation:

V=16 L r=26%=10026​=5013​=0.26 r1​=20%=10020​=51​=0.2 r2​=50%=10050​=21​=0.5  x+y = 16 r1​⋅ x + r2​⋅  y = r ⋅  V  r1​⋅ x+r2​⋅ (V−x)=r⋅ V 0.2⋅ x+0.5⋅ (16−x)=0.26⋅ 16  0.3x=3.84  x=0.33.84​=12.8  x=564​=12.8=12.8 L
y=V−x=16−12.8=3.2 L

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