## Related questions with answers

Question

To help move his furniture, a man rents a truck for $41.50 per day plus 35 cents per mile. If he has budgeted$150 for transportation expenses, how many miles will he be able to drive the truck if the move takes 1 day?

Solution

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1 of 2$\begin{align*} & {\text{Let x = number of miles}}\\ \\ & 41.50+0.35x=150 && {\text{Given equation}}\\ \\ & 41.50+0.35x-41.50=150-41.50 && {\text{Use subtraction property of equality}}\\ \\ & 0.35x=108.50 && {\text{Simplify}}\\ \\ & \dfrac{\cancel{0.35}x}{\cancel{0.35}} = \dfrac{108.50}{0.35} && {\text{Use division property of equality}}\\ \\ & {\color{#4257b2}x=310 {\text{ miles}}} && {\text{Simplify}}\\ \end{align*}$

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