Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 4 liters of natural oil for every 7 liters of synthetic oil. In order to make 825 liters of Petrolyn oil, how many liters of synthetic oil are needed?

To determine the quantity of synthetic oil needed for 825 liters of Petrolyn oil, we need to find the ratio between natural oil and synthetic oil in the mixture.

The ratio of natural oil to synthetic oil is 4:7, which means that for every 4 liters of natural oil, we need 7 liters of synthetic oil.

Let's calculate the ratio for 825 liters of Petrolyn oil:

Total ratio = Natural oil ratio + Synthetic oil ratio = 4 + 7 = 11

To find the quantity of synthetic oil needed, we divide the total quantity of the Petrolyn oil by the total ratio:

Quantity of synthetic oil = (825 liters / 11) * 7
= 75 * 7
= 525 liters

Therefore, 525 liters of synthetic oil are needed to make 825 liters of Petrolyn oil.

To find out how many liters of synthetic oil are needed, we first need to determine the ratio of natural oil to synthetic oil in Petrolyn motor oil.

The given information states that Petrolyn motor oil contains 4 liters of natural oil for every 7 liters of synthetic oil. This means that the total ratio of natural oil to synthetic oil is 4:7.

Now, we can use this ratio to calculate the amount of synthetic oil needed for 825 liters of Petrolyn oil.

Step 1: Add up the parts of the ratio (4 + 7) to get the total number of parts, which is 11.

Step 2: Divide the total amount of Petrolyn oil by the total number of parts to find the size of each part. In this case, 825 ÷ 11 = 75.

Step 3: Multiply the size of each part by the number of parts of synthetic oil in the ratio (7) to determine the amount of synthetic oil needed. In this case, 75 × 7 = 525 liters.

Therefore, to make 825 liters of Petrolyn oil, 525 liters of synthetic oil are needed.

To determine the amount of synthetic oil needed, we need to find the ratio of synthetic oil to the total amount of oil. If there are 4 liters of natural oil for every 7 liters of synthetic oil, then the total ratio of natural oil to synthetic oil is 4:7.

To find the total amount of oil needed, we add the two parts of the ratio: 4 + 7 = 11.

To determine the amount of synthetic oil needed, we divide the total amount of oil by the total ratio: 825 / 11 = 75.

Therefore, 75 liters of synthetic oil are needed to make 825 liters of Petrolyn oil.