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?

Algebra ->  Rate-of-work-word-problems -> 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?      Log On


   



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) About Me  (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.
Profit+=+Sales+-+Cost
18+=+2%28X-5%29+-+1.5%28X%29+
18+=+2X+-+10+-+1.5X
28+=+0.5X
56+=+X+
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) About Me  (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