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.
Accepted Solution
A:
Answer:1.14 litersStep-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% = 0.16We can write a Ratio as shown below, cross multiply and solve for x:[tex]\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[/tex]We need to add around 1.14 liters