Question

how many litres of water to be added 1500 litres of 30 percent solution of acid so that the resulting mixture will contain more than 10 percent but less that 20 percent acid content. Pl

Answer 1

MARK AS BRAINLIEST..........

Answer 2

Let the litres of water to be added is x litres .

Volume od acidic solution = 1500 litres

Its composition = 30% .

Acidic content therefore in solution = 30% of 1500

=30/100 × 1500

= 450 litres .

When x litres of water is added , volume of solution becomes 1500+x litres .

According to the question , the acidic content should be more than 10% but less than 20% .

10/100(1500+x) < 450 < 20/100 (1500 + x)

We can write these separately as

10/100 (1500 + x ) < 450

and 450 < 20/100 (1500 + x)

Solving the first inequality

10/100 (1500+x) < 450

1500+x /10 < 450

1500 + x < 4500

x < 4500 - 1500

x < 3000

Solving the second inequality

450 < 20/100 (1500+x)

450 < 1500 + x /5

450 × 5 < 1500 + x

2250 < 1500 + x

2250-1500 < x

750 < x

So , 750 < x < 3000

So , the volume of water added should be between 750 L to 3000 L to get more than 10% but less than 20% solution .