Question

Two publishers have offered Melanie Thompson a deal on her new

book Sugar-Free Culinary Classics. The first has offered to pay
her $82,000 up front and a $5.50 royalty for every book it
sells. The second has offered to pay $68,000 up front and a
$6.75 royalty for every book it sells. Over what range of book
sales will Melanie make more from the second publisher than she
will from the first?

Answer 1

Explanation:

68000+6.75b>82000+5.5b. subtract 5.5b from both sides

68000+1.25b>82000. subtract 68000 from both sides

1.25b>14000. divide both sides by 1.25

b>11200

So she must sell more than 11500 books to make more with second publisher.