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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
avatar+21951 
+2

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
avatar+9791 
+2

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

laugh  !

 Jan 22, 2020
edited by asinus  Jan 22, 2020

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