Question 1199032
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A van has an 80-L fuel tank and a fuel efficiency rating of 12.2 L / 100 km.
(a) How far can the van travel on one t full tank of fuel?
(b) How much fuel would the van use on a 325-km trip?
(c) If the cost of gasoline is $1.55/L, how much does it cost to fill up the tank of this van?
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<pre>
(a)  Use this proportion

         {{{12.2/100}}} = {{{80/x}}}.

     From this proportion, find  the unknown distance x

         x = {{{(100*80)/12.2}}}  kilometers.  At this point, use your calculator.



(b)  Use this proportion

         {{{12.2/100}}} = {{{y/325}}}.

     From this proportion, find  the unknown volume of fuel y

         y = {{{(12.2*325)/100}}}  liters.  At this point, use your calculator.



(c)   To find the cost of filling the tank, multiply the tank volume (80 L) by the price of the fuel, per liter.
</pre>

Solved / explained / instructed.


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On proportions, see the lessons 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/proportions/lessons/-Proprtions.lesson>Proportions</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/proportions/lessons/Using-proportions-to-solve-word-problems.lesson>Using proportions to solve word problems</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/proportions/lessons/Typical-problems-on-proportions.lesson>Typical problems on proportions</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/proportions/lessons/Using-proportions-to-estimate-the-number-of-fish-in-a-lake.lesson>Using proportions to estimate the number of fish in a lake</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/proportions/lessons/HOW-TO-algebreze-and-solve-this-problem-using-proportions.lesson>HOW TO algebreze and solve these problems using proportions</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/proportions/lessons/Problems-on-proportions-for-mental-solution.lesson>Problems on proportions for mental solution</A> 

in this site.



Happy learning &nbsp;(&nbsp;!&nbsp;)