Eduardo wants to make 17.1 fl. oz. of a 60% sugar solution by mixing together a 80% sugar solution and a 50% sugar solution. How much of each solution must he use?

1 Answer
Mar 6, 2016

Answer:

#5.7 fl. oz. of 80% sugar solution#
#11.4fl. oz. of 50% sugar solution#

Explanation:

This can be solved through algebraic calculation:

  1. Let #x# the volume of #80% sugar solution#

  2. Let #17.1-x# the volume of #50% sugar solution#

  3. The desired mixture is #60% of 17.1 fl.oz sugar solution#

  4. Write down the algebraic equation as:
    #0.80(x) + 0.50(17.1-x)(0.50) = 0.60(17.1)#

  5. Do the algebraic calculation to find the value of #x#

  6. #x=5.7# for #80% sugar solution#

  7. Therefore, to find the other volume; subtract #x=5.7# from #17.1-x#; to get #11.4 fl. oz. 50% sugar solution#.