QuestionFrank's hot dogs increased by \$2, then halved to \$2.50. What was the original price?

Studdy Solution

STEP 1

Assumptions1. The price of the hot dogs was increased by $. . The new price was then cut in half.<br />3. The final price of the hot dogs was$ .50.

STEP 2

First, we need to find the new price before it was cut in half. We can do this by doubling the final price.
$New\, price\, before\, halving = Final\, price \\times2$

STEP 3

Now, plug in the given value for the final price to calculate the new price before it was cut in half.
$New\, price\, before\, halving = \$2.50 \\times2$

STEP 4

Calculate the new price before it was cut in half.
$New\, price\, before\, halving = \$2.50 \\times2 = \$.00$

STEP 5

Now that we have the new price before it was cut in half, we can find the original price. This can be done by subtracting the increase in price from the new price before it was cut in half.
$Original\, price = New\, price\, before\, halving - Increase\, in\, price$

STEP 6

Plug in the values for the new price before it was cut in half and the increase in price to calculate the original price.
$Original\, price = \$5.00 - \$2.00$

STEP 7

Calculate the original price.
$Original\, price = \$5.00 - \$2.00 = \$3.00$ The original price of the hot dogs was $3.00.

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