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A chemist want to mix a 40% acid solution with a 70% acid solution to make 6 liters of a 50% acid solution. How much of each type of solution should the chemist use? Show your Work. I NEED HELP ASAP, PLZ HELP ​

A chemist want to mix a 40 acid solution with a 70 acid solution to make 6 liters of a 50 acid solution How much of each type of solution should the chemist use class=

Respuesta :

Answer:

2 liters of 70%

4 liters of 40%

Step-by-step explanation:

Let

x = liters of 70%

Then the remaining amount is

6 - x = liters of 40%

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Mixing

(70% of x) + (40% of 6 -x) (to get)  50% of 6)

    70(x)    +      40(6-x)         =           50(6)

Simplify

70x + (240 - 40x) = 300

Combine like terms

30x = 60

Divde both sides by 30

x = 2 liters of 70%

6 - x = 4 liters of 40%

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