SOLUTION: Fifteen litres of fuel containing 3.2% oil is available for a certain two-cycle engine. This fuel is to be used for another engine requiring a 5.5% oil mixture. How many litres o

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Question 1055367: Fifteen litres of fuel containing 3.2% oil is available for a certain two-cycle engine. This fuel is to be used for another engine requiring a 5.5% oil mixture. How many litres of oil must be added?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39616) About Me  (Show Source):
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
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Fifteen litres of fuel containing 3.2% oil is available for a certain two-cycle engine.
This fuel is to be used for another engine requiring a 5.5% oil mixture. How many litres of oil must be added?
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The basic equation is 

%2815%2A0.032+%2B+v%29%2F%2815+%2B+v%29 = 0.055.   (1)

To solve it, multiply both sides by (15 + v). You will get

15*0.032 + v = 0.055*(15+v),

0.48 + v = 0.825 + 0.055v,

v - 0.055v = 0.825-0.48,

0.945v = 0.345  --->  v = 0.345%2F0.945 = 0.365.

Answer.  0.365 liters of oil must be added.

Be aware: Writing by josgarithmetic on this problem is absolutely wrong starting from his first equation.