27 Sheryl makes 2 litres of fruit punch which contains \( 20 \% \) orange juice. She then adds 500 mL of apple juice to complete the punch. What percentage of the completed punch is orange juice? A
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To find the percentage of orange juice in the completed punch, first calculate the amount of orange juice in the initial 2 liters. Since it’s 20% orange juice, that means: \[ \text{Amount of orange juice} = 20\% \text{ of } 2 \text{ liters} = 0.20 \times 2 = 0.4 \text{ liters} = 400 \text{ mL} \] Next, when Sheryl adds 500 mL of apple juice, the total volume of the punch becomes: \[ \text{Total volume} = 2000 \text{ mL} + 500 \text{ mL} = 2500 \text{ mL} \] Now, to find the new percentage of orange juice in the completed punch: \[ \text{Percentage of orange juice} = \left( \frac{400 \text{ mL}}{2500 \text{ mL}} \right) \times 100 = 16\% \] So, the percentage of orange juice in the completed punch is \( 16\% \).