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
Explanation:
This can be solved through algebraic calculation:
-
Let
#x# the volume of#80% sugar solution# -
Let
#17.1-x# the volume of#50% sugar solution# -
The desired mixture is
#60% of 17.1 fl.oz sugar solution# -
Write down the algebraic equation as:
#0.80(x) + 0.50(17.1-x)(0.50) = 0.60(17.1)# -
Do the algebraic calculation to find the value of
#x# -
#x=5.7# for#80% sugar solution# -
Therefore, to find the other volume; subtract
#x=5.7# from#17.1-x# ; to get#11.4 fl. oz. 50% sugar solution# .
