Problema Solution

How many gallons of a 16% salt solution must be mixed with 40 gallons of a 24% solution to obtain a 20% solution?

Answer provided by our tutors

let


x = the gallons of 16% salt solution


x is mixed with 40 gallons thus the new 20% solution mix will weight x + 40 gallons


the salt percentage will be


16% of x + 24% of 40 = 20% of (x + 40)


0.16x + 0.24*40 = 0.20(x + 40)


by simplifying and solving the equation we find


x = 40 gallons


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40 gallons of 16% salt solution must be used in the mix.