To solve this problem step-by-step, we need to determine the percentage of syrup in the 60 liters of juice, given that 51 liters of water are used in the mixture.

Step 1: Analyze the Composition of the Juice

The total amount of juice is $60$ liters, which consists of both water and syrup.

• We are told that 51 liters of water are used to make the 60 liters of juice.
• Therefore, the remaining volume must be syrup.

Step 2: Calculate the Volume of Syrup

To find the volume of syrup, we subtract the volume of water from the total volume of juice: $\text{Volume of syrup} = 60 \, \text{liters (total juice)} - 51 \, \text{liters (water)} = 9 \, \text{liters}$

Step 3: Determine the Percentage of Syrup

Now, we calculate the percentage of syrup in the juice: $\text{Percentage of syrup} = \left( \frac{\text{Volume of syrup}}{\text{Total volume of juice}} \right) \times 100$ Substitute the values: $\text{Percentage of syrup} = \left( \frac{9}{60} \right) \times 100 = 15\%$

Final Answer

The percentage of syrup in 60 liters of this juice is:

• 15%, which corresponds to option c.

Would you like more details on this solution, or do you have any questions?

Here are five related questions to consider:

1. How would the percentage change if the amount of water was increased?
2. What would be the syrup percentage if the total juice was 80 liters with 68 liters of water?
3. How do you calculate the percentage of syrup if only the ratio of water to syrup is known?
4. Can the mixture ratio affect the sweetness of the juice? If so, how?
5. If 10 more liters of syrup were added, what would the new syrup percentage be?

Tip: When calculating percentages in mixtures, always ensure you know the total volume and the specific component amounts before starting.