Question 9187
Let x = amount of liquid at 56%
70-x = amount of liquid at 21%
70 = amount of liquid at 41%


(The above can be reversed, and it works almost as well!!)


.56x + .21(70-x) = .41(70)
.56x + 14.7 - .21x = 28.7
.35x + 14.7 = 28.7
.35x + 14.7 - 14.7 = 28.7 - 14.7
.35x = 14
{{{x = 14/.35}}} = {{{1400/35}}} = 40 milliliters of 56% solution
70 - x = 30 milliliters of 21% solution


Check:  
.56(40) + .21(30) = .41(70)
22.4 + 6.3 = 28.7


Praise the Lord!!  It checks!!


R^2 at SCC