Question

How many litres of water will have to be added to 1250 litres of 45% solution of acid so that the resulting mixture will contain more than 25% but less than 30% acid content?

Answer 1

Answer:

Hence the quantity of water added should be greater than 562.5 litre but less than 900.

Step-by-step explanation:

Let us assume that l liters of water is added to 1125 liters so that the resulting mixture contain more than 25% but less than 30% acid solution.

Lets first calculate the acid content in 1125 liters (45% acid).

i.e., liters

Now when l liter of solution is added so the volume becomes (1125 + l) liter.

Now according to question the acid content should be more than 25% but less than 30% so

Now this can be written as two inequalities,

and

Multiplying by 100

25 l less than fraction numerator 1125 cross times 20 over denominator blank end fraction

l less than fraction numerator 1125 cross times 20 over denominator 25 end fraction

l less than 900

Solving 2nd inequality

then

Hence the quantity of water added should be greater than 562.5 litre but less than 900.