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Question
dylan brought his dvd set of the sleuth in the shadows saga to a second - hand store to sell. he was paid cash for all 4 dvds in the set. before he left, dylan used $16.40 of his earnings to purchase a backpack. he had $3.60 remaining. how much did dylan receive for each dvd in the set?
Step1: Calculate total earnings
First, find out how much money Dylan had in total before buying the backpack. We add the money he spent on the backpack and the money he had remaining. So, the total earnings $T$ is $T = 16.40+ 3.60=20$ dollars.
Step2: Calculate earnings per DVD
Since he sold 4 DVDs and earned a total of $20$ dollars, to find out how much he received for each DVD, we divide the total earnings by the number of DVDs. Let the amount per DVD be $x$. Then $x=\frac{20}{4}=5$ dollars.
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$5$