131k views
0 votes
How many liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16%

glycerin? Round the answer to the nearest hundredth if necessary.

User DimanNe
by
7.3k points

2 Answers

5 votes

Answer: B, 1.14 liters

Explanation:

correct on edg

User Andrey Lushnikov
by
8.6k points
3 votes

Answer:

1.143 litres of glycerine should be added.

Explanation:

Let x be the quantity ( in litres ) of glycerine added to 12 litres of an 8% glycerine solution so that the resulting solution contains 16%,

Thus,

Quantity of glycerine in 12 litres + Quantity of glycerine in x = Quantity of glycerine in resultant mixture.

8% of 12 + 100% of x = 16% of (12 + x )

0.08 × 12 + x = 0.16 × ( 12 + x )

0.96 + x = 0.16 × 12 + 0.16x

0.96 + x = 1.92 + 0.16x

x - 0.16x = 1.92 - 0.96

0.84x = 0.96


\implies x = (0.96)/(0.84)\approx 1.143

Hence, 1.143 litres of glycerine should be added.

User Jim Dagg
by
9.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories