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A scientist needs 60 liters of a 40% solution of alcohol. He has a 30% solution and a 60% solution available. How many liters of the 30% solution and how many liters of the 60% solution should he mix to make the 40% solution?

Respuesta :

kendallwilhelm

Answer:

x = 40 liters of the 30% solution

y = 20 liters of the 60% solution

Step-by-step explanation:

CREATE THE TABLE:

TYPE              UNITS              CONCENTRATION       =        AMOUNT

30%                     x                            0.30                                  0.30x

60%                     y                            0.60                                  0.60y

40%                    60                           0.40                                  0.40(60)

CREATE THE EQUATIONS:

x + y = 60

0.3x + 0.6y = 24

SOLVE:

x = 60 - y

0.3 (60 - y) + 0.6y = 24

y = 20 liters

x + 20 = 60

x = 40 liters

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