spicybell
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A chemist needs to mix a 39% salt solution with a 70% salt solution to make 40 liters of a 55% salt solution. How many liters of each solution should the chemist mix to get the desired result?

Solution with 39% salt:
.
Solution with 70% salt:

Thanks a ton!! :)

Respuesta :

MathPhys

Step-by-step explanation:

If x is the volume of 39% solution, and y is the volume of 70% solution, then:

x + y = 40

0.39x + 0.70y = 0.55(40)

Solve the system of equations.

0.39x + 0.70(40 − x) = 0.55(40)

0.39x + 28 − 0.70x = 22

6 = 0.31x

x = 19.4

y = 20.6

The chemist needs 19.4 liters of 39% solution and 20.6 liters of 70% solution.

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