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  • 22-04-2020
  • Mathematics
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A scientist has 400ml of a 8% solution. How much water needs to be added to lower it to a 2% solution?

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calculista
calculista calculista
  • 27-04-2020

Answer:

1,200 ml of water must be added

Step-by-step explanation:

Let

x ----> the amount of water needed  in ml

we know that

In a 8% solution, the amount of water is 92%

so

[tex]400(0.92)=368\ ml[/tex]

In a 2% solution the amount of water must be 98%

so

[tex](400+x)0.98=368+x[/tex]

solve for x

[tex]392+0.98x=368+x\\x-0.98x=392-368\\0.02x=24\\x=1,200\ ml[/tex]

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