1 L of fruit punch contains .045 L of real fruit juice of this fruit juice 1/30 is lemon juice. What percent of the fruit punch is lemon juice

1 answer

To find the percentage of lemon juice in the fruit punch, we can follow these steps:

  1. Calculate the volume of lemon juice: Since 1/30 of the fruit juice is lemon juice and the total volume of fruit juice in the punch is 0.045 L, we calculate the volume of lemon juice:

    \[ \text{Volume of lemon juice} = \frac{1}{30} \times 0.045, \text{L} = 0.0015, \text{L} \]

  2. Calculate the percentage of lemon juice in the fruit punch: Next, we need to find out what percentage this volume of lemon juice is compared to the total volume of the fruit punch (1 L).

    The formula for percentage is:

    \[ \text{Percentage} = \left( \frac{\text{part}}{\text{whole}} \right) \times 100 \]

    In this case, the part is the volume of lemon juice (0.0015 L) and the whole is the total volume of fruit punch (1 L):

    \[ \text{Percentage of lemon juice} = \left( \frac{0.0015}{1} \right) \times 100 = 0.15% \]

So, the percentage of lemon juice in the fruit punch is 0.15%.