SOLUTION: A toy manufacturing company makes a doll that sells for $12. It costs $5 in labor to make eack doll. The total cost for the materials is $420. How many dolls must they sell to brea

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Question 24683: A toy manufacturing company makes a doll that sells for $12. It costs $5 in labor to make eack doll. The total cost for the materials is $420. How many dolls must they sell to break even?
I have major problems with this one in particular. If you could please put this problem into a system that would be great. I do not need the answer. Thank you!

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
$420 is the cost of materials to make all the dolls
$5 is the cost in labor to make one doll
Let x = number of dolls made to break even (cost of production = income)
5 * x = labor cost to make all the dolls
(materials cost) + (labor cost) / number of dolls = price per doll
%28240+%2B+%285+%2A+x%29%29+%2F+x+=+12
%28240+%2B+%285+%2A+x%29%29+=+12+%2A+x
7+%2A+x+=+420
x+=+60
check
%28420+%2B+%285+%2A+60%29%29+%2F+60+=+12
+%28420+%2B+300%29+%2F+60+=+12
+720+%2F+60+=+12
checks OK
make 60 dolls to break even