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). There are two production methods it could use. With one method, the one-time fixed costs will total $64,652 , and the variable costs will be $10 per book. With the other method, the one-time fixed costs will total $12,137 , and the variable costs will be $21.25 per book. For how many books produced will the costs from the two methods be the same?
can someone solve this for me

Question

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). There are two production methods it could use. With one method, the one-time fixed costs will total $64,652  , and the variable costs will be $10 per book. With the other method, the one-time fixed costs will total $12,137 , and the variable costs will be $21.25  per book. For how many books produced will the costs from the two methods be the same? 
can someone solve this for me

anonymous · Answer

just put the two equations equal to each other and solve for x  $64652+$10x=$12137+$21.25x

anonymous · Answer

i'm getting 38

anonymous · Answer

the answer is 4668
$64652+$10x=$12137+$21.25x first subtract 10x on both sides
$64652=$12137+$11.25x then subtract 12137 on both sides
52515=11.25x last divide by 11.25
x=4668

anonymous · Answer

thank you...Great explanation

anonymous · Answer

you can check your answer by plugging in to both equations and they should be equal