Dylan brought his DVD set of The Sleuth in the Shadows Saga to a secondhand 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?

Question

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Answer 1

Let's denote the total amount Dylan received for all 4 DVDs as \( x \). According to the problem, after Dylan bought the backpack for $16.40, he had $3.60 left. Therefore, we can set up the following equation:

\[ x - 16.40 = 3.60 \]

Now, we solve for \( x \):

\[ x = 16.40 + 3.60 \] \[ x = 20.00 \]

Dylan received a total of $20.00 for all 4 DVDs. To find out how much he received for each DVD, we divide the total amount by the number of DVDs:

\[ \text{Amount per DVD} = \frac{20.00}{4} = 5.00 \]

Therefore, Dylan received $5.00 for each DVD in the set.