9 qt. of a 80% sugar solution was mixed with 1 qt. of a 50% sugar solution. What is the concentration of the mixture?

1 Answer
Apr 8, 2016

Answer:

concentration: #77%#

Explanation:

#9# qt. at #80%# sugar solution
#rarr 80/100 xx9# qt. # = 7.2# qt. of sugar

#1# qt. at #50%# sugar solution
#rarr 50/100 xx 1# qt. #= 0.5# qt. of sugar

Combined
#color(white)("XXX")9# qt. #+ 1# qt. #=10# qt. of solutution
with
#color(white)("XXX)7.2# qt. #+ 0.5# qt. #= 7.7# qt. of sugar

#rArr (7.7 " qt. sugar")/(10 " qt. solution") = 77%# sugar concentration