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