Question

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

Answer 1

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%**.