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katrin2010 [14]
3 years ago
11

A scientist has saline solutions with concentrations of 4% and 14% . He wants to mix some of each solution to get 65 milliliters

of solution with a 6% concentration. How many milliliter of each solution does he need to mix together?
Mathematics
1 answer:
Komok [63]3 years ago
8 0
Let volume of 4% solution = x and of 14% be y

them x + y = 65........(1)    also  using the actual weights of  salt:-

0.04x + 0.14y  =  65*0.06 = 3.9

multiplying the above equation by  -25 we have

-x - 3.5y = -97.5    adding this to equation (1)

--2.5y = -32.5
y= 13 

and x = 65 - 13 = 52

so we need 13 mls of the 14%,  and 52 mls of the 4% solution.
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