The Garners rented a moving van for $59.95 plus $0.50/mi. Before returning the van, they filled the gas tank, which cost $21.50. The total cost for renting the van, including gas was $199.45. To the nearest mile, how many miles did the Garners drive the van?
a.
519 mi
c.
236 mi
b.
279 mi
d.
70 mi

Question

The Garners rented a moving van for $59.95 plus $0.50/mi.  Before returning the van, they filled the gas tank, which cost $21.50.  The total cost for renting the van, including gas was $199.45.  To the nearest mile, how many miles did the Garners drive the van?
a.
519 mi
c.
236 mi
b.
279 mi
d.
70 mi

mathstudent55 · Answer

Fixed cost: $59.95
Let x = number of miles driven
Per mile cost: $0.50x
Gas cost: $21.50
Add all costs up and set euqal to $199.45
59.95 + 21.50 + 0.5x = 199.45
Solve for x