SOLUTION: a bookstore currently sells 15 copies per week of a $20 book. For each $1 discount in price, the store can sell 3 more books.How many discounts will yield sales of $468 per week

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Question 635583: a bookstore currently sells 15 copies per week of a $20 book. For each $1 discount in price, the store can sell 3 more books.How many discounts will yield sales of $468 per week on this book.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
a bookstore currently sells 15 copies per week of a $20 book. For each $1 discount in price, the store can sell 3 more books.How many discounts will yield sales of $468 per week on this book.
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let x=no. of $1 discounts
price of each book=20-x
no. of books sold=15+3x
(20-x)(15+3x)=468
300+45x-3x^2=468
3x^2-45x-300+468=0
3x^2-45x-168=0
x^2-15x-56=0
(x-8)(x-7)=0
x=8
or
x=7
No. of $1 discounts that will yield sales of $468 per week: 7 and 8