how many liters of glycerin should be added to 12 Liters of an 8% glycerin solution so that the resulting solution contains 16%

Question

viva [34]

3 years ago

11

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

Mathematics

2 answers:

lianna [129] · Answer 1 · 2022-04-14T22:46:00+03:00

lianna [129]3 years ago

6 0

Answer:

The answer is b. 1.14

Step-by-step explanation:

mojhsa [17] · Answer 2 · 2022-04-14T20:35:43+03:00

Answer:

1.14 liters

Step-by-step explanation:

We have 8% glycerin solution and we need to make it 16% glycerin solution [more concentration].

When we add "x" liters, we add glycerin as well as changes the total. in 12 Liters, there is 12 * 0.08 = 0.96Liters of glycerin. How much we need to add to this??

Note, 16% = 0.16

We can write a Ratio as shown below, cross multiply and solve for x:

$\frac{0.96+x}{12+x}=0.16\\(12+x)(0.16)=0.96+x\\1.92+0.16x=0.96+x\\1.92-0.96=x-0.16x\\0.96=0.84x\\x=1.14$

We need to add around 1.14 liters