SOLUTION: Elliot paid $1.50 a dozen for some flowers. he sold all but 5 dozen of them for $2 a dozen, making a profit of $18. how many dozen flowers did he buy?

Question 161109: Elliot paid $1.50 a dozen for some flowers. he sold all but 5 dozen of them for $2 a dozen, making a profit of $18. how many dozen flowers did he buy?
Found 2 solutions by vleith, checkley77:
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
Let X be the number of dozen he bought.
Then (X-5) is the number of dozen he sold.

He bought 56 dozen and sold 51 of them.
That's a lot of flowers and not a lot of profit :(

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
1.50x=2(x-5)-18
1.50x=2x-10-18
1.5x-2x=-28
-.5x=-28
x=-28/-.5
x=56 dozen roses were bought.
Proof:
1.50*56=2(56-5)-18
84=2*51-18
84=102-18
84=84

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