Wednesday, November 2, 2016

Margie's car can go 32 miles on a gallon of gas, and the gas costs 4 per gallon. How many miles can margie drive on $20 worth of gas

For this type of word problem, the given conditions can act as conversion factor or ratio.


 Let us list the given conditions:


Condition 1: 32 miles on a gallon of gas.


As conversion factor:  32 miles = 1 gallon gas


              32 miles               1 gallon gas


As ratio:  ---------------  or  ----------------------


              1 gallon gas      ...

For this type of word problem, the given conditions can act as conversion factor or ratio.


 Let us list the given conditions:


Condition 1: 32 miles on a gallon of gas.


As conversion factor:  32 miles = 1 gallon gas


              32 miles               1 gallon gas


As ratio:  ---------------  or  ----------------------


              1 gallon gas            32 miles



Condition 2: Gas costs 4 per gallon of gas.


As conversion factor:  $ 4 = 1 gallon gas


              $ 4                       1 gallon gas


As ratio:  ---------------  or  ----------------------


              1 gallon gas              $ 4 



 Given:  $20 worth of gas.


 We can use conversion table to convert $20 = ? miles


 using the given conversion factor or ratios. The units will serve as a guide


 on how the conversion factors/ratios will be plug-in the table.



 In the conversion table, same units should be on the opposite sides to cancel out.



$20   |   1 gallon gas    |    32 miles   |


        |---------------------| ---------------|   = 160 miles.


        |      $ 4               | 1 gallon gas|



Note: The $ and gallon gas units can be cancelled out and we will be left with the unit of "miles".



Answer:  Margie can drive her car a distance of 160 miles to consume the $20 worth of gas.



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