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 $3.00 each, how many will he have to sell to make a profit o

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Question 312428: 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 $3.00 each, how many will he have to sell to make a profit of exactly $36.00 ?
And how do I do this problem I couldnt figure out how to solve it.

Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
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 $3.00 each, how many will he have to sell to make a profit of exactly $36.00 ?
.
Profit, as a function of the number of toys sold is:
P(n) = n(3.00 - 1.80)
Where
P(n) is the profit
n is the number of toys sold
.
So, if we want to see a profit of $36.00, set P(n) to 36 and solve for n:
P(n) = n(3.00 - 1.80)
36 = n(3.00 - 1.80)
36 = n(1.20)
36/1.20 = n
30 = n

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