581 liters of natural oil
Step-by-step explanation:
We can solve this problem by using the rule of three.
In fact, we know that the motor contains 7 liters of natural oil for every 4 liters of synthetic oil: this means that the ratio between natural oil and synthetic oil is 7:4.
here we want to find the amount of natural oil if there are 913 liters in total. We call:
[tex]x[/tex] = the amount of natural oil
Therefore, the amount of synthetic oil here is [tex]913-x[/tex].
So we can write the following equation:
[tex]\frac{7}{4}=\frac{x}{913-x}[/tex]
And solving for x, we find:
[tex]7(913-x)=4x\\6391-7x=4x\\11x=6391\\x=\frac{6391}{11}=581[/tex]
So, there are 581 liters of natural oil.
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