document.write( "Question 1153731: 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? Find two solutions \n" ); document.write( "

Algebra.Com's Answer #776011 by MathLover1(20849) $\"\"$ $\"About$

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\n" ); document.write( "let $\"x\"$ be the number of $ $\"1\"$ discounts\r
\n" ); document.write( "\n" ); document.write( "then price of each book is $\"20-x\"$ \r
\n" ); document.write( "\n" ); document.write( "a bookstore currently sells $\"15\"$ copies, and with a discount, the store can sell $\"3\"$ more books: $\"3x\"$
\n" ); document.write( "so, the number of books sold is $\"15%2B3x\"$ \r
\n" ); document.write( "\n" ); document.write( "then\r
\n" ); document.write( "\n" ); document.write( " $\"%2820-x%29%2815%2B3x%29=468\"$
\n" ); document.write( " $\"300%2B60x-15x-3x%5E2=468\"$
\n" ); document.write( " $\"300%2B45x-3x%5E2-468=0\"$
\n" ); document.write( " $\"-3x%5E2%2B45x-168=0\"$ ...factor
\n" ); document.write( " $\"-3+%28x%5E2-15x%2B56%29+=0\"$
\n" ); document.write( " $\"-3+%28x%5E2-8x-7x%2B56%29+=0\"$
\n" ); document.write( " $\"-3+%28%28x%5E2-8x%29-%287x-56%29%29+=0\"$
\n" ); document.write( " $\"-3+%28x%28x-8%29%2B7%28x-8%29%29+=0\"$
\n" ); document.write( " $\"-3%28x-8%29%28x-7%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( "solutions:
\n" ); document.write( " $\"x=8\"$
\n" ); document.write( "or
\n" ); document.write( " $\"x=7\"$ \r
\n" ); document.write( "\n" ); document.write( "the number of $ $\"1\"$ discounts that will yield sales of $ $\"468\"$ per week is: $\"7\"$ and $\"8\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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