If your patient's blood is 90.47% water, how many mL of blood would you need to collect 488.5 mL of water?

To determine how many milliliters (mL) of blood would need to be collected to obtain 488.5 mL of water, we can use the percentage formula:

\[
\text{Amount of water} = \left(\frac{\text{Percentage of water in blood}}{100}\right) \times \text{Volume of blood}
\]

We know:
- The percentage of water in blood is 90.47%.
- The amount of water needed is 488.5 mL.

Let \( V \) represent the total volume of blood needed. Rearranging the formula to solve for \( V \):

\[
V = \frac{\text{Amount of water}}{\frac{\text{Percentage of water in blood}}{100}} = \frac{488.5}{0.9047}
\]

Now, let's calculate \( V \).

\[
V = \frac{488.5}{0.9047} \approx 540.04 \, \text{mL}
\]

So, you would need approximately **540.04 mL** of blood to collect 488.5 mL of water.

Would you like more details on this? Here are five related questions:

1. How would the result change if the water percentage in the blood were lower?
2. What if we needed 1 liter of water instead of 488.5 mL?
3. How can you apply this calculation to other substances with different percentages?
4. How can you verify the precision of this calculation in real-world lab settings?
5. What are the effects of dehydration on the water percentage in blood?

**Tip:** In percentage problems, always ensure the unit consistency between quantities before performing the calculation.

Learn how to calculate the volume of blood required to obtain 488.5 mL of water when the blood is 90.47% water. This problem involves percentage calculations and proportional reasoning, suitable for students in Grades 9-12.

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