Final answer:
To find the original price of the calculator, subtract the additional reduction from the final price and solve an equation to find the original price. The original price of the calculator was $26.67.
Step-by-step explanation:
To find the original price of the calculator, we need to work backwards from the final price. We know that the calculator was bought for $47.00 during the second week of the sale. In the second week, all items were reduced by an additional $4, so the original price after the first week was $47.00 + $4.00 = $51.00. Now, during the first week, all prices were reduced by 15%. We can set up an equation to find the original price:
$51.00 - 15% of the original price = $47.00
To calculate 15% of the original price, we can multiply the original price by 0.15. Let's call the original price x:
$51.00 - 0.15x = $47.00
Now, we can solve for x by subtracting $51.00 from both sides of the equation:
-0.15x = $47.00 - $51.00
-0.15x = -$4.00
Finally, we divide both sides of the equation by -0.15 to isolate x:
x = -$4.00 / -0.15
x = $26.67
The original price of the calculator was $26.67.