QuestionIf the final price is \$3 after halving the new price, what was the original price before the \$2 increase?

Studdy Solution

STEP 1

Assumptions1. The final price of the product is $3 per pack. The price was first increased by$ per pack3. Then, the new price was cut in half

STEP 2

First, we need to find the price after the increase but before the price was cut in half. We can do this by doubling the final price, since the final price is half of the price after the increase.
$Price\, after\, increase = Final\, price \times2$

STEP 3

Now, plug in the given value for the final price to calculate the price after the increase.
$Price\, after\, increase = \$3 \times2$

STEP 4

Calculate the price after the increase.
$Price\, after\, increase = \$3 \times2 = \$6$

STEP 5

Now that we have the price after the increase, we can find the original price. This can be done by subtracting the increase amount from the price after the increase.
$Original\, price = Price\, after\, increase - Increase\, amount$

STEP 6

Plug in the values for the price after the increase and the increase amount to calculate the original price.
$Original\, price = \$6 - \$2$

STEP 7

Calculate the original price.
$Original\, price = \$6 - \$2 = \$4$ The original price of the product was $4 per pack.

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