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Mumz [18]
3 years ago
14

A nurse mixes 50 cc of a 60% saline solution with a 20% saline solution to produce a 28% saline solution. How much of the 20% so

lution should he use?
Mathematics
2 answers:
Alex17521 [72]3 years ago
6 0

Answer:

  • 200 cc

Step-by-step explanation:

Let x be the added 20% solution.

<u>The salt content is same:</u>

  • 50*0.6 + x*0.2 = 0.28*(x + 50)
  • 30 + 0.2x = 0.28x + 14
  • 0.28x - 0.2x = 30 - 14
  • 0.08x = 16
  • x = 16/0.08
  • x = 200
gayaneshka [121]3 years ago
5 0

Let added amount be y .

  • The salt remains same

\\ \tt\Rrightarrow 50(0.6)+0.2y=0.28(y+50)

\\ \tt\Rrightarrow 0.2y+30=0.28y+14

\\ \tt\Rrightarrow 0.2y-0.28y=14-30

\\ \tt\Rrightarrow -0.08y=-16

\\ \tt\Rrightarrow 0.08y=16

\\ \tt\Rrightarrow y=\dfrac{16}{0.08}

\\ \tt\Rrightarrow y=200

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