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  • 11-02-2020
  • Mathematics
contestada

How many pounds of a 4% solution of borax must be added to 24 pounds of a

12% solution of borax to obtain a 10% solution of borax?

Respuesta :

lisboa lisboa
  • 11-02-2020

Answer:

8 pounds of 4% solution of borax

Step-by-step explanation:

Let x  be the 4% solution

24 pounds of 12% solution  

obtain a 10% solution of borax that is (x+24) pounds

4% is 0.04  and 12% is 0.12  , 10% is 0.1

[tex]0.04x+24(.12)=0.1(x+24)[/tex]

solve the equation for x

[tex]0.04x+24(.12)=0.1(x+24)\\0.04x+2.88= 0.1x+2.4\\2.88= 0.06x+2.4\\0.48=0.06x\\x=8[/tex]

so 8 pounds of 4% solution of borax

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