Gasoline oil mixture

Gasoline is to be mixed with oil. The recommended mixing ratio of oil to petrol is 1:50. We have 5 litres of gasoline in the canister. How many decilitres (dl) of oil must be added to maintain the recommended ratio?

Final Answer:

V =  0.9804 dl

Step-by-step explanation:

$$\begin{gathered} n=1/50=\frac{1}{50}=0.02 \\ {V}_1=5\text{l} \\ {V}_2=\frac{1}{50+1}\cdot V_1=\frac{1}{50+1}\cdot 5=\frac{5}{51}\doteq 0.098\text{l} \\ V=10\cdot V_2=10\cdot \frac{5}{51}=\frac{10\cdot 5}{51}=\frac{50}{51}=\frac{50}{51}\text{dl}=0.9804\text{dl} \end{gathered}$$

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