WORD PROBLEM - 2 equations & 2 variables: "A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $28,650. The variable costs will be $9.75 per book. The publisher will sell the finished product to bookstores at a price of $22.25 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales? Let B = # of books produced
@Satellite73

Question

WORD PROBLEM - 2 equations & 2 variables: "A small publishing company is planning to publish a new book.  The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing).  The one-time fixed costs will total $28,650.  The variable costs will be $9.75 per book.  The publisher will sell the finished product to bookstores at a price of $22.25 per book.  How many books must the publisher produce and sell so that the production costs will equal the money from sales?  Let B = # of books produced
@Satellite73

hero · Answer

y = 28650 + 9.75x
y = 22.25x

y = y
28650 + 9.75x = 22.25x

hero · Answer

What's the matter? lost?

anonymous · Answer

I do not understand.  Teacher said to use the variable B for # of books produced and set up 2 equations.

zepdrix · Answer

Word problems? :O ughhh lol

anonymous · Answer

please help

hero · Answer

Well, swap variables x and y with A and B

anonymous · Answer

$B$ is the number of books produced, then you will make 
$$22.25B$$ dollars, at a cost of 
$$28,650+9.75B$$ so figure out where they aer equal write 
$$2865+9.75B=22.25B$$ and solve for $B$

anonymous · Answer

i honestly don't see how you get two variables out of this, unless you simply introduce another one, like 
$$C=2865+9.75B$$ and $$P=22.25B$$ then say set $C=P$ but is is the same as what i wrote and what @hero wrote above