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Justin rented a truck for one day. There was a base fee of $19.99, and there was an additional charge of 72 cents for each mile driven. Justin had to pay
$182.71 when he returned the truck. For how many miles did he drive the truck?

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rvkacademic

Answer:

226 miles

Step-by-step explanation:

The equation for calculating the total rental charge is
Base Fee + (per mile charge)x (number of miles driven)

Let number of miles driven = X

Then

19.99 + 0.72X = 182.71

Multiply both sides by 100 to get integer values
[tex]19.99\cdot \:100+0.72X\cdot \:100=182.71\cdot \:100[/tex]

==> [tex]1999+72X=18271[/tex]


Subtract 1999 from both sides
[tex]1999+72X-1999=18271-1999[/tex]
[tex]72X=16272[/tex]

Divide both sides by 72:
[tex]\frac{72X}{72}=\frac{16272}{72}[/tex]

[tex]X=226[/tex]

So Justin drove the truck for 226 miles

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