A person drank 450 ml of a cocktail accidentally mixed with his blood. Calculate the amount of blood that is required of nutrients.

Steps to Solve

1. Identify the total blood volume The average adult has about 5 to 6 liters of blood in their body. For this calculation, we will use 5 liters as a standard reference value.

2. Convert blood volume to milliliters To convert liters to milliliters, we use the conversion factor that 1 liter equals 1000 milliliters: $$ 5 \text{ liters} = 5 \times 1000 = 5000 \text{ ml} $$

3. Determine the percentage of the substance in relation to blood volume Next, we need to find out what percentage 450 ml represents of the total blood volume (5000 ml): $$ \text{Percentage} = \left(\frac{450 \text{ ml}}{5000 \text{ ml}}\right) \times 100 $$

4. Calculate the percentage Perform the calculation: $$ \text{Percentage} = \left(\frac{450}{5000}\right) \times 100 = 9% $$

5. Determine how much blood is needed to neutralize To neutralize the effect of the substance in the system, you would typically want to replace an equivalent amount of blood. In this case, subtract the amount already consumed (450 ml) from the total blood volume: $$ \text{Blood required} = \text{Total blood volume} - \text{Substance ingested} = 5000 \text{ ml} - 450 \text{ ml} = 4550 \text{ ml} $$