To help Jerome determine how much water and drink mix he needs to prepare enough energy drink for all the runners, we need to establish a few key pieces of information:
- Total Amount of Energy Drink Needed: How much energy drink does Jerome need in total?
- Concentration of the Drink Mix: What is the recommended ratio of water to drink mix for the energy drink?
Let’s assume the following information for this example:
- Total runners: 20
- Amount of energy drink per runner: 250 mL
- Total amount of energy drink needed: 20 runners * 250 mL = 5000 mL
- Drink mix ratio: 1 part drink mix to 4 parts water (for a total of 5 parts)
Calculations
Step 1: Determine the Amount of Drink Mix and Water
Given the ratio of 1 part drink mix to 4 parts water, the total parts for the mixture are:
- Total parts = 1 (drink mix) + 4 (water) = 5 parts
To find out how much drink mix and water is in 5000 mL:
-
Drink Mix Volume: \[ \text{Drink Mix Volume} = \left(\frac{1}{5}\right) \times 5000 = 1000 \text{ mL} \]
-
Water Volume: \[ \text{Water Volume} = \left(\frac{4}{5}\right) \times 5000 = 4000 \text{ mL} \]
Summary Table
| Ingredient | Volume (mL) | Calculation | |--------------|-------------|----------------------------------------| | Total Drink | 5000 | Total runners (20) * Amount per runner (250 mL) | | Drink Mix | 1000 | (1 part / 5 parts) * Total Drink (5000 mL) | | Water | 4000 | (4 parts / 5 parts) * Total Drink (5000 mL) |
Explanation of Results
Jerome needs to prepare a total of 5000 mL of energy drink for 20 runners, with each runner receiving 250 mL. Using the drink mix ratio of 1 part drink mix to 4 parts water, Jerome will need to use 1000 mL of drink mix and 4000 mL of water to achieve the desired concentration and volume.
This calculation ensures the mixture maintains the proper flavor and effectiveness, providing the right amount of hydration and energy for the runners during their event. Having a clear and organized table demonstrates the calculations and provides an easy reference for Jerome while he prepares the energy drink.