petrolyn motor oil is a combination of natural oil and synthetic oil. it contains 5 liters of natural oil for every 8 liters of synthetic oil. if 440 liters of natural oil are used, how many liters of petrol oil will be made?

Respuesta :

1144 Liters of oil.
For every 5 there is 8 used. So 440/5 = 88.  88 units times 8 is 704.  704 synthetic plus 440 natural is 1144 liters of oil total.

Answer:

1144 liters.

Step-by-step explanation:

Given,

Petrolyn motor oil contains 5 liters of natural oil for every 8 liters of synthetic oil.

Thus, the ratio of the natural oil and synthetic oil in motor oil = [tex]\frac{5}{8}[/tex]

Let x be synthetic oil that is mixed with the 440 liters of motor oil,

Thus, we can write,

[tex]\frac{440}{x}=\frac{5}{8}[/tex]

[tex]3520=5x[/tex]        ( By cross multiplication )

[tex]\implies x = \frac{3520}{5}=704[/tex]

Hence, the quantity of synthetic oil = 704 liters,

The quantity of petrol oil = Synthetic oil + Motor oil = 704 + 440 = 1144 liters.

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