Final answer:
To make 504 liters of Petrolyn oil with a ratio of 4 liters of natural oil to 3 liters of synthetic oil, 288 liters of natural oil are needed. This is calculated by dividing the total liters by the sum of the parts of the ratio and then multiplying by the number of parts for natural oil. There might be an error as 288 liters are necessary, though not provided in the options.
Step-by-step explanation:
To find out how many liters of natural oil are needed to make 504 liters of Petrolyn oil, considering that the mixture contains 4 liters of natural oil for every 3 liters of synthetic oil, we can set up a proportion.
First, let's find the total parts of oil in the mixture: 4 parts natural oil + 3 parts synthetic oil = 7 parts total.
Now, we'll calculate how many parts of the total 504 liters are natural oil:
- Divide the total amount of Petrolyn oil (504 liters) by the total number of parts (7 parts). This gives us the amount of Petrolyn oil per part.
- Multiply the amount per part by the number of parts that are natural oil (4 parts).
Performing these calculations:
- 504 liters / 7 parts = 72 liters per part
- 72 liters per part × 4 parts natural oil = 288 liters of natural oil
Therefore, the answer is 288 liters of natural oil are needed to make 504 liters of Petrolyn oil. However, this answer is not one of the options provided. There seems to be a mistake, as the correct calculation shows that 288 liters are necessary, but this option is not listed. The closest answer choice provided is 336 liters, but the correct calculation is important to note.