Respuesta :
Answer:
165 liters.
Step-by-step explanation:
Given:
Petrolyn motor oil is a combination or natural oil and synthetic oil.
It contains 3 liters of natural oil for every 2 liters of synthetic oil.
Question asked:
In order to make 275 liters of Petrolyn oil, how many liters of natural oil are needed?
Solution:
It is given that Petrolyn motor oil contains 3 liters of natural oil for every 2 liters of synthetic oil that means ratio of natural oil and synthetic oil is 3 : 2.
Now, in order to make 275 liters of Petrolyn oil, we will have to combine both natural and synthetic oil.
Let ratio be [tex]x[/tex]
Then quantity of natural oil in liters = [tex]3x[/tex]
And quantity of synthetic oil in liters = [tex]2x[/tex]
To make 275 liters of Petrolyn oil,
Quantity of natural oil in liters + quantity of synthetic oil in liters = 275
[tex]3x + 2x = 275\\5x = 275[/tex]
Dividing both sides by 5
[tex]\frac{5x}{5} = \frac{275}{5} \\x = 55[/tex]
[tex]3x[/tex] = [tex]3\times 55 =165[/tex] liters
Therefore, 165 liters of natural oil are needed to make 275 liters of Petrolyn oil.
