2. A technician has prepared three solutions from a 600 mL stock solution.
• In preparing the first solution ½ of the original volume of the stock solution was used.
• The second solution required ¼ of the remaining stock solution.
• Preparation of the third solution used 3/5 of the remaining stock solution.
What fraction of stock solution remains?
Is 3/20 correct?
You are correct
thank you
To determine the fraction of stock solution that remains, we need to follow the steps given in the problem.
1. In preparing the first solution, ½ of the original volume of the stock solution was used. This means that if the original volume of the stock solution is 600 mL, then ½ of it is 600/2 = 300 mL.
2. After the first solution, there is a remaining stock solution. This remaining stock solution is equal to the original volume (600 mL) minus the amount used for the first solution (300 mL). So, the remaining stock solution is 600 - 300 = 300 mL.
3. For the second solution, ¼ of the remaining stock solution is used. Since the remaining stock solution is 300 mL, ¼ of it is 300/4 = 75 mL.
4. After the second solution, there is still a remaining stock solution. This remaining stock solution is equal to the remaining stock solution after the first solution (300 mL) minus the amount used for the second solution (75 mL). So, the remaining stock solution is 300 - 75 = 225 mL.
5. For the third solution, 3/5 of the remaining stock solution is used. Since the remaining stock solution is 225 mL, 3/5 of it is (3/5) * 225 = 135 mL.
6. After the third solution, there is still a remaining stock solution. This remaining stock solution is equal to the remaining stock solution after the second solution (225 mL) minus the amount used for the third solution (135 mL). So, the remaining stock solution is 225 - 135 = 90 mL.
Therefore, the fraction of stock solution that remains is 90 mL out of the original 600 mL. To express it as a fraction, we can write it as 90/600, which simplifies to 3/20.
Yes, 3/20 is the correct fraction representing the amount of stock solution that remains.