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A pharmacist has a 6% solution of cough syrup and a 14% solution of the same cough syrup. How many ounces of each must be mixed to make 16 ounces of a 10% solution of cough syrup?

 Feb 7, 2020
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ingredients in constituents = ingredients in final solution

 

let x be the amount of 6%        the amount of 'active' ingredients is 6% of x    or  .06x

  then 16-x  is the amount of 14% solution                                                            .14(16-x)

    added together they must equal the final solution    10%  and 16 ounces   or   .1 (16)

 

.06x        +    .14(16-x)        =    .1(16)        solve for 'x' the 6% solution amount...then the 14% amount will be 16 - x

 Feb 7, 2020

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