SOLUTION: Chris has two large dogs that want to go out all the time. He has a big fenced in yard so he decided to buy a "doggie door". He did research online and found a pet supply company t

Question 466504: Chris has two large dogs that want to go out all the time. He has a big fenced in yard so he decided to buy a "doggie door". He did research online and found a pet supply company that was cheapest. He ordered the door online and was given a 20% discount plus a shipping and handling charge of $4.95. If Chris paid a grand total for the door of $43.99, what was the original price of the door?
Can you please help me figure this problem out. I am having a hard time figuring this problem out. Thank you.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
let x = original price of the door.
the sale price of the door is equal to x -.2x = .8x
the total cost is equal to 43.99 which is the sum of the sale price of the door plus the shipping and handling.
this leads to:
43.99 = .8x + 4.95
subtract 4.95 from both sides of this equation to get:
43.99 - 4.95 = .8x
simplify this to get:
39.04 = .8x
divide both sides of this equation by .8 to get:
39.04 / .8 = x which leads to:
x = 39.04 / .8 = 48.8
the original price of the door is $48.80
20% off the original price leads to a sale price of 39.04
add shipping and handling of 4.95 to get a total price of 39.04 + 4.95 = $43.99

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