Question

a 25% alcohol solution is to be mixed with a 40% alcohol solution to obtain 18 liters of a 30% alcohol solution. How many liters of each solution should be used

Answer 1

Answer : The volume of solution used should be, 12 L

Explanation :

Let the volume of solution be, x

Thus the equation will be:

`25\%* (x)+40\%* (18-x)=30\%* (18)`

Now solving the term 'x', we get:

`(25)/(100)* (x)+(40)/(100)* (18-x)=(30)/(100)* (18)`

`0.25* (x)+0.4* (18-x)=0.3* (18)`

`0.25x+7.2-0.4x=5.4`

`-0.15x=-1.8`

`0.15x=1.8`

`x=12`

Thus, the volume of solution used should be, 12 L