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# help

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An engine runs on 0.1 quart of oil for every 3.5 quarts of gasoline. You make 3 quarts of the mixture. How much oil and gasoline do you use?

Jan 21, 2020

#1
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If you mix 0.1 quart of oil for every 3.5 quarts of gasoline, you total mixture will be 3.6 quarts.

The percentage of oil is           0.1 / 3.6  =  0.0277777...

The percentage of gasoline is 3.5 / 3.6  =  0.9722222 ...

If there are 3 quarts of the mixture,

the amount of oil is            3 x 0.277777  =  0.0833333 quarts

the amount of gasoline is  3 x 0.972222  =  2.9166667 quarts.

Jan 21, 2020
#2
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An engine runs on 0.1 quart of oil for every 3.5 quarts of gasoline. You make 3 quarts of the mixture. How much oil and gasoline do you use?

Hello Guest!

$$x\cdot(3.5+0.1)=1$$

$$x=\frac{1}{3.5+0.1}=\color{blue}\frac{1}{3.6}$$

$$\frac{1}{3.6}\cdot(3.5+0.1)=\\ 0,97\overline 2+0,02\overline7=1\\ \times 3=\\ \color{blue}\ 2.91\overline6+0.08\overline3=3$$

gasoline      oil     mixture !

Jan 22, 2020
edited by asinus  Jan 22, 2020