a chemist mixes a 10% saline solution with a 20% saline solution to make 500 milliliters of a 16% saline solution. How many milliliters of each solution does teh chemist mix together?
(it would help to show how u solve it)
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let the volume of the 10% solution be a and the volume of the 20% solution be b
a + b = 500mls
16% of 500 ml = 80mls
10a/100 + 20b /100 = 80
a + 2b = 800 .....(1)
a + b = 500 .......(2)
(1) - (2)
b = 300ml
therefore a + 300 = 500
a = 200ml
Let x = the 10%
then 500-x = the 20%
Change the percents to decimals
0.10x + 0.20(500 -x) = 0.16(500)
0.10x + 100 - 0.20x = 80
-0.10x = -20
x = 200
so 200 mL of the 10% solution and 300 mL of the 20% solution
doode i hate solution equations :P
first group the stuff into a table
% solution amount solution amount (m)
1
2
Final Mix
put the numbers into the correct places
and then put them together into an equation and solve