Mixture Problems Questions
Question
In a 40 litres mixture acetic acid and sodium acetate are in the ratio 3:1,find the amount of sodium acetate solution to be added to make the ratio 2:3.
Solution
Ans.e
Let us first calculate the initial volumes of acetic acid and
sodium acetate solution.Since,the ratio is 3:1 and the
total volume is 40 litres we have the equation
3x + x = 40 ⇒4x = 40 ⇒ x = 10.
the initial volumes are 3x = 30 litres and x = 10 litres.
To make the ratio 2:3,let w litres of sodium acetate
solution be added.
Thus,the proportion is 30 : (w+10) = 2 : 3
⇒30 × 3= (w+10) × 2 (if a:b=c:d then a/b=c/d or
ad=bc)
⇒90=2w+20
⇒70=2w
⇒w=35litre
Comments
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