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

The answer is b. 1.14

Explanation:

Answer 2

1.14 liters

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:

`(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