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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