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lozanna [386]
3 years ago
8

How many liters each of a 25% acid solution and a 50% acid solution must be used to produce 80 liters of a 40% acid solution?

Mathematics
1 answer:
alina1380 [7]3 years ago
4 0

Answer:

  • 32 and 48 liters

Step-by-step explanation:

Let 25% solution is x liters, then 50% solution is (80 - x) liters.

<u>Acid content is going to be same:</u>

  • 0.25x + 0.5(80 - x) = 80*0.4
  • 0.25x - 0.5x + 40 = 32
  • 0.25x = 8
  • x = 8/0.25
  • x = 32 liters

So 32 liters of 25% solution and 80 - 32 = 48 liters of 50% solution

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To make the denominators same do cross multiplication.

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