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Question 5
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The price of an item has been reduced by
. The new sale price is
. What was the original price?
I Don’t Know
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Mar 26
10:59
ALEKS - Kaniya Harris - Knowle
UpStudy Thoth AI
www-awy.aleks.com/alekscgi/x/Isl.exe/1o_u-lgNsIkr7j8P3jH-IQUhQ7UhjLUg6NO6tj9qFItz6nQLOPsPMGhYGIf7gwLxVfsm6W4CQXelNv0YEo6vU2nF…
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Question 5
Kaniya
Español
I Don’t Know
Submit
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Mar 26
10:59
Ask by Macdonald Reese. in the United States
Mar 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The original price was $16.51.
Solution
Step 1:
Let the original price be .
Let the original price be
Step 2:
Since the price was reduced by , the new sale price is expressed as
Since the price was reduced by
Step 3:
To find the original price , add
to both sides of the equation:
To find the original price
Step 4:
Perform the addition:
Perform the addition:
Answer:
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Extra Insights
To find the original price of the item, you simply need to add the reduction amount back to the sale price. So, add
to the new sale price of
. This will give you:
Therefore, the original price was
.
When tackling problems like this in math, always remember to carefully read and break down the question. A common mistake is to subtract instead of adding when looking for original prices after a discount. Keeping your calculations organized helps avoid these pitfalls!