11. Tayla purchased a large box of comic books for $300. She gave 15 of the comic books to her brother. Then she sold the rest of the comic books on an Internet website for $330, making a profit of $1.50 on each. a) How many comic books were in the box? b) What did Tayla pay for each comic book?
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a) Number of Comic Books in the box :
Let the Price of per comic book be x .
Cost of Large Box = $300
No of Boxes = 300 / x
Number of Comic books gave to Brother = 15
Balance number of books = (300/x - 15) books
Sales Value (300/x- 15) books = $330
Profit on sale of Each book = 1.5$
Sales Price of each book = x+1.5
From the Above data following Equation is derived:
= Balance no of Books * Sales Price per book = $330
=> (300/x - 15) * (x+1.5) = 330
=> 15x2 +52.5x - 450 = 0 (ax2 + bx + c ) ( )
=> x = -7.5 , 4 (discard negative value)
=> Price of each book = $4
Number of Comic Books in the box = 300/ 4 = 75 Books
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