SOLUTION: Two fuel mixtures, one of 2.0% oil and 98% gasoline and another of 8.0% oil and 92% gasoline are to be mixed to make 10L of a fuel that is 4.0% oil and 96% gasoline that is to be u

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Question 1090653: Two fuel mixtures, one of 2.0% oil and 98% gasoline and another of 8.0% oil and 92% gasoline are to be mixed to make 10L of a fuel that is 4.0% oil and 96% gasoline that is to be used in a chain saw. How much of each L mixture is needed? I need to know the process of algebra that is used to calculate the answer.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
4% oil is 1%2F3 of the way from 2% oil to 8% oil. Does this help you?
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x, how much of the 2% oil
10-x, how much of the 8% oil

2x%2B8%2810-x%29=4%2A10
x%2B4%2810-x%29=20
x%2B40-4x=20
-3x=-20
x=20%2F3

x=6%262%2F3, Liters of the 2% oil mixture
3%261%2F3, Liters of the 8% oil mixture