zhananeumann
zhananeumann zhananeumann
  • 04-06-2019
  • Mathematics
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How many gallons of 20% salt solution must be mixed with 4 gallons of 40% salt solution to make 25% salt solution?

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LammettHash
LammettHash LammettHash
  • 04-06-2019

If [tex]x[/tex] is the amount (gal) of the 20% solution to be used, then the mixture would have a total volume of [tex]x+4[/tex] gal. We want to end up with a 25% salt solution, so that

[tex]0.2x+0.4\cdot4=0.25(x+4)[/tex]

[tex]\implies0.2x+1.6=0.25x+1[/tex]

[tex]\implies0.6=0.05x[/tex]

[tex]\implies x=12[/tex]

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