Calvin was at his local grocery store, and saw that they had gummy worms for sale. To satisfy his foreseeable sugar craving, he bought 72 bags of gummy worms. Upon exiting the store, he noticed the the ink on the receipt was smudged, and he could see the price as $_3.4_. What is the price (in cents) of 1 bag of gummy worms?
To find the price of 1 bag of gummy worms, we need to determine the missing digits in the price, which are represented by underscores. The given information is that Calvin bought 72 bags, and the total price on the receipt was $_3.4_.
Let's break down the total price. We know that 72 bags were purchased, so if we divide the total price by 72, we should get the price per bag.
To find the missing digits, we can follow these steps:
Step 1: Set up an equation using the given information:
Total price / Number of bags = Price per bag
Step 2: Replace the known values into the equation:
$_3.4_ / 72 = Price per bag
Step 3: Solve for the missing digits:
Multiply both sides of the equation by 72:
$_3.4_ * 72 = Price per bag * 72
This gives us:
$_3.4_ * 72 = Price per bag * 72
We can use some algebra to simplify the equation further:
$_3.4_ * 72 = Price per bag * 72
(3.40 * 100) * 72 = Price per bag * 72
340 * 72 = Price per bag * 72
Price per bag = 245.76 / 72
Price per bag ≈ $3.41
Therefore, the price of 1 bag of gummy worms is approximately $3.41 or 341 cents.