SOLUTION: an iteam is originally priced at D dollars will be discounted at 35%. write an expression to represent the new price. i thought that you would take D/.35 but that is not right.

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Question 309004: an iteam is originally priced at D dollars will be discounted at 35%. write an expression to represent the new price. i thought that you would take D/.35 but that is not right.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Say the item is $100, if you divide by 0.35, you then get 100%2F0.35=285.714286 which is clearly NOT a discount (unless you like paying more for something that should be less)


Instead, when that same $100 item is discounted by 35%, this basically means that you are subtracting 35% of that item's price from the price of the item. Recall that 35% is 0.35 in decimal form. So if a item is originally $100, then a 35% discount reduces the price to 100-100%2A0.35=100-35=65 dollars.


In general, an item at D dollars discounts to D-0.35D=0.65D. Take note that if D=100, then 0.65D=0.65%28100%29=65 which is what we originally got.

So the new price after the 35% discount is 0.65D dollars.