SOLUTION: A merchant paid $1,800 for a group of men's hat. He sold all but 5 of the hats at $20 more per hat than he paid, thereby making a profit of $200 on the transaction. How many hats d

Question 308987: A merchant paid $1,800 for a group of men's hat. He sold all but 5 of the hats at $20 more per hat than he paid, thereby making a profit of $200 on the transaction. How many hats did the merchant buy?
choices:
A:)20
B:)25
C:)30
D:)35
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Let h=number of hats he bought.
1800/h cost of each hat
(1800/h)+20 sale price of each hat
h-5 number of hats he sells
2000 income from the sale of the hats
.
((1800/h)+20)(h-5)=2000
(1800+20h)(h-5)=2000h multiply each side by h to eliminate fraction.
20h^2+1700h-9000=2000h
h^2+85h-450=100
h^2-15h-450=0
(h-30)(h+15)=0
h=30 number of hats he bought.
.
Ed
RELATED QUESTIONS
You and a friend sell hats at a fair booth. You sell 16 hats on the first shift and 21... (answered by Shin123)

Suppose all 10 men at a party throw their hats in the center of the room. Each man then... (answered by ikleyn)

Could you please help me with this question:Christopher Columbus just spent 20 pieces of... (answered by mananth)

Please help with this problem. What is the probability of choosing a man that is... (answered by stanbon)

The school track team earned $2 for every hat they sold and $5 for every sweatshirt that... (answered by stanbon)

Please help! If you can show me what I did wrong, that would be helpful, thanks 1.... (answered by solver91311)

1)Joe wanted to purchase a new computer, so he invested $900 for 2 years. If he ended... (answered by Theo)

Christopher Columbus has just spent 20 pieces of silver at the mariner's mall. he bought... (answered by TimothyLamb)

the number of men and women wearing hats at a recent baseball game is recorded. The... (answered by solver91311)