A necklace was priced between $50 and $100 was on sale at 25% off. When the original price (a whole dollar amount) was discounted, the sale price was also a whole number of dollars. What are the possible original prices for the necklace?
the possible answer would be 52,56,60,64,68,72,76,80,84,88,92,and 96.Basically any number that goes into 4 in between 50 and 100.
I am trying to help my son with the same problem. At first I thought the above answer was correct too. Then I started to second guess myself because $50-$100 is the SALE price so we need to find the ORIGINAL price THEN take 25% off that to get the sale price. The above answer (52, 56, 60, 64....) is if we take 25% off of the sale price ($50-$100). I think we are doing it backwards. ????? I understand that it's every 4 numbers but I think it may be 68, 72, 76.....
If we assume $68 is the original price and take 25% of $68, then we get a sale price of $51. Any thoughts? Again, I have no idea which way is correct.
To find the possible original prices for the necklace, we can start by figuring out the range of discounted prices that would result in a whole number of dollars.
Given that the necklace was on sale at a 25% discount, we can calculate the discounted prices within the given price range.
Lower Price Range:
$50 * 0.25 = $12.50
Upper Price Range:
$100 * 0.25 = $25.00
Now, we need to find the discounted prices that are whole numbers within this range.
To do this, we can iterate over the range of possible discounted prices and check if each value is a whole number.
Starting from the lower price range, let's identify the possible original prices by adding the discounted prices to the range of discounted prices we calculated earlier:
Possible Original Prices:
$50 + $12.50 = $62.50
$50 + $25.00 = $75.00
Moving to the upper price range:
Possible Original Prices:
$100 + $12.50 = $112.50
$100 + $25.00 = $125.00
However, we need to consider that the original price must be a whole dollar amount. Since none of the possible original prices fall within the given range, there are no possible original prices for the necklace that satisfy the given conditions.
52,39
56,42
60,45
64,48