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One week a certain truck rental lot had a total of 20 trucks, all of which were on the lot Monday morning. If 50 percent of the trucks that were rented out during the week were returned to the lot on or before Saturday morning of that week, and if there were at least 12 trucks on the lot that Saturday morning, what is the greatest number of different trucks that could have been rented out during the week.

a)18
b)16
c)12
d)8
e)4

The answer is B)16, but I do not understand the explanation. Can someone please explain how they would approach this problem.

You know that however many trucks are rented out, 50% are coming back. You also know that there are at least 12 trucks on the lot Sat morning, and you are looking for the greatest number that could be rented to satisfy that situation.

If you start with 20 and rent out 10, then you have 5 coming back and a total of 15 on the lot saturday morning. Then increase the number rented to 12 (13 won't work because 50% would be 6.5 trucks and we can't have half a truck) Now you have 6 trucks coming back and a total of 14 trucks on the lot Sat morning. They are looking for the MOST trucks that could be rented out, so you keep increasing the number until you reach the cut off.

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