Question

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

Answer 1

5 liters of water must be added.

Step-by-step explanation:

In this question form and equate equations for the amount of sugar in both syrups which does not change.

Let the amount of water to be added to 15 liters of 40% sugar syrup to be w liters

The 40% sugar syrup will contain  15 liters of 40% sugar syrup. This means that the amount of sugar contained in the syrup is 15 *0.4 = 6 liters......(i)

So for a 30% sugar syrup, the amount of syrup is =15 +w *L , thus amount of sugar in this syrup will be : (15+w)0.3*L--------(ii)

Because only water was added, the amount of sugar remains the same hence equate the equations for amount of sugar;

0.3(15+w)=6

solve for value of w as

4.5+0.3 w =6

0.3 w = 6-4.5

0.3 w = 1.5

w= 1.5/0.3 = 5 liters

Learn More

Mixtures :brainly.com/question/14587611

Keywords : liters, water , added, sugar syrup

#LearnwithBrainly