Iamdanrick Iamdanrick
  • 09-03-2020
  • Mathematics
contestada

.
How much pure acid should be mixed with 3 gallons of a 20% acid solution in
order to get a 60% acid solution?

Respuesta :

calculista
calculista calculista
  • 15-03-2020

Answer:

3 gallons

Step-by-step explanation:

Let

x ----> the amount of pure acid (100% solution) in gallons

Remember that

[tex]100\%=100/100=1[/tex]

[tex]20\%=20/100=0.20[/tex]

[tex]60\%=60/100=0.60[/tex]

we know that

[tex](1)(x)+(0.20)(3)=(0.60)(x+3)[/tex]

solve for x

[tex]x+0.60=0.60x+1.80[/tex]

[tex]x-0.60x=1.80-0.60\\0.40x=1.20\\x=3\ gal[/tex]

therefore

3 gallons of pure acid should be mixed with 3 gallons of a 20% acid solution in  order to get a 60% acid solution

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