Question

How many liters of water must be added to 15 liters of 40 % sugar syrup to obtain 30 % sugar syrup?

Answer 1

Answer:

5 litres

Step-by-step explanation:

let the amount of water to be added be 'x' ;

firstly,

amount of sugar syrup = 40/100 × 15

= 6 litres

so now,

30/100 × (15+x) = 6 --(°.° sugar amount is same)

45 + 3x = 60

3x = 15

.°. x = 5 litres.

Answer 2

5 liters of water.

Step-by-step explanation:

Here, 15 liters of 40% sugar syrup contains $(15 \times \frac{40}{100}) = 6$ liters of pure sugar and (15 - 6) = 9 liters of pure water.

Let us assume that after adding x liters of water to this 15 liters of 40% sugar syrup, it will become a 30% sugar syrup.

So, we can write the equation

$\frac{6}{15 + x} = \frac{30}{100} = 0.3$

⇒ 6 = 4.5 + 0.3x

⇒ 0.3x = 1.5

⇒ x = 5 liters. (Answer)