SOLUTION: Ben is making wooden toys for the next arts and crafts sale. Each toy costs ben $1.80 to make. If he sells the toys for $3.oo each, how many will he have to sell to make a profit

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Ben is making wooden toys for the next arts and crafts sale. Each toy costs ben $1.80 to make. If he sells the toys for $3.oo each, how many will he have to sell to make a profit       Log On


   

Question 32015: Ben is making wooden toys for the next arts and crafts sale. Each toy costs ben $1.80 to make. If he sells the toys for $3.oo each, how many will he have to sell to make a profit of exactly $36.00?
Answer by mbarugel(146) About Me  (Show Source):
You can put this solution on YOUR website!
Hello!
The profits can be calculated as (Revenue - Costs).
Let's call X to the number of toys he sells. If he sells each for $3.00, the his revenue is:
Revenue+=+3X
Since the cost of each is $1.80, then the total cost is:
Cost+=+1.8X
Therefore, his profits, as a function of X, are:
Profits+=+3X+-+1.8X+=+1.2X
So now we set the profit equal to 36 and solve for X:
1.2X+=+36
X+=+36%2F1.2
X+=+30
He must sell 30 toys in order to make $36.00 in profits.

I hope this helps!
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