Answer :
To calculate the percentage by volume of fruit juice in the drink, we need to know two things:
1. The volume of the fruit juice (we have been given this volume, which is 60 mL).
2. The total volume of the solution that results from mixing the fruit juice with water (we have been given this total volume as well, which is 360 mL).
Now, the percentage by volume of fruit juice in the drink is calculated by the following ratio:
[tex]\[ \text{Percentage of Fruit Juice} = \frac{\text{Volume of Fruit Juice}}{\text{Total Volume of Solution}} \times 100\% \][/tex]
Substituting the given values into this formula, we have:
[tex]\[ \text{Percentage of Fruit Juice} = \frac{60\ mL}{360\ mL} \times 100\% \][/tex]
[tex]\[ \text{Percentage of Fruit Juice} = \frac{60}{360} \times 100\% \][/tex]
[tex]\[ \text{Percentage of Fruit Juice} = \frac{1}{6} \times 100\% \][/tex]
[tex]\[ \text{Percentage of Fruit Juice} = \approx 16.67\% \][/tex]
Therefore, the correct answer is B. 16.67%.
1. The volume of the fruit juice (we have been given this volume, which is 60 mL).
2. The total volume of the solution that results from mixing the fruit juice with water (we have been given this total volume as well, which is 360 mL).
Now, the percentage by volume of fruit juice in the drink is calculated by the following ratio:
[tex]\[ \text{Percentage of Fruit Juice} = \frac{\text{Volume of Fruit Juice}}{\text{Total Volume of Solution}} \times 100\% \][/tex]
Substituting the given values into this formula, we have:
[tex]\[ \text{Percentage of Fruit Juice} = \frac{60\ mL}{360\ mL} \times 100\% \][/tex]
[tex]\[ \text{Percentage of Fruit Juice} = \frac{60}{360} \times 100\% \][/tex]
[tex]\[ \text{Percentage of Fruit Juice} = \frac{1}{6} \times 100\% \][/tex]
[tex]\[ \text{Percentage of Fruit Juice} = \approx 16.67\% \][/tex]
Therefore, the correct answer is B. 16.67%.
