Jim had $20 to spend at the Video Rental. He has a late fee of $4.00 and it will cost him $2.99 to rent each movie. Not including tax, what inequality can Jim write to solve for the most number of movies, m, he can rent?
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Given : Jim had $20 to spend at the Video Rental. He has a late fee of $4.00 and it will cost him $2.99 to rent each movie.
To Find : inequality for the most number of movies, m, he can rent
Solution:
number of movies can rent = m
Each movie cost = $2.99
m movie cost = 2.99m $
Late fee = $ 4
Total Cost - 2.99m + 4
Total Money available = 20 $
Total Cost ≤ Total Money available
=> 2.99m + 4 ≤ 20
Inequality is 2.99m + 4 ≤ 20
=> 2.99m ≤ 16
=> m ≤ 5.35
=> m ≤ 5 as movies can be in integer only
Maximum 5 movies can be rented
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