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?
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To find the fraction of stock solution that remains, we need to calculate the fraction of the stock solution that was used for each step.
Step 1: The first solution used 1/2 of the original volume of the stock solution. So, 1 - 1/2 = 1/2 of the stock solution remains after the first step.
Step 2: The second solution required 1/4 of the remaining stock solution. Therefore, 1/2 * 1/4 = 1/8 of the original stock solution remains after the second step.
Step 3: The third solution used 3/5 of the remaining stock solution. So, 1/8 * 3/5 = 3/40 of the original stock solution remains after the third step.
Therefore, the fraction of the stock solution that remains is 3/40, not 3/20.