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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

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

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