Question

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

Answer 1

Answer:

The answer is b. 1.14

Step-by-step explanation:

Answer 2

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