Finding The Best Price: A Simple Guide to Unit Pricing

What is the unit price of the better buy when comparing $211.85 for 620 batteries and $8.69 for 24 batteries?

• A. 0.25
• B. 0.34
• C. 0.40
• D. 0.50

Answer: (B)

To determine the better buy between the two options, we need to calculate the unit price for each purchase by dividing the total cost by the quantity of batteries. For the first option, which costs $211.85 for 620 batteries: Unit price = Total cost / Quantity = $211.85 / 620 ≈ $0.3414 (rounded to four decimal places) For the second option, which costs $8.69 for 24 batteries: Unit price = Total cost / Quantity = $8.69 / 24 ≈ $0.36125 (rounded to five decimal places) Now, we compare the direct results. The calculated unit price for the first option is approximately $0.34, while for the second option, it is approximately $0.36125. Since $0.34 is lower than $0.36125, the first option provides a better value per battery. Thus, the unit price of the better buy is approximately $0.34, which corresponds to the calculation done for the larger quantity of batteries at $211.85 for 620 batteries.

Have you ever found yourself staring at two different prices for the same item and wondered which one gives you the best bang for your buck? You're not alone! Whether you're stocking up on batteries, beautifying your space with paint, or just grocery shopping, knowing how to calculate and compare unit prices can save you money in the long run. So, let's break this down with a simple example related to battery purchases.

Let's say, for instance, you’re comparing the cost of 620 batteries at $211.85 versus 24 batteries for $8.69. Right from the start, you can sense there’s an elaborate duel happening here, right? But don’t fret! All we need to do is a little math magic to reveal which option offers a better deal.

First up, let’s tackle that big batch of 620 batteries. Here’s the formula we need for unit pricing:

[

\text{Unit price} = \frac{\text{Total cost}}{\text{Quantity}}

]

So, when we plug in the numbers for those 620 batteries:

[

\text{Unit price} = \frac{211.85}{620} \approx 0.3414

]

Rounded for convenience, each battery costs you about $0.34. Great, right? But we’re not done yet — let’s take a gander at the smaller pack of 24 batteries.

Using the same formula, we calculate:

[

\text{Unit price} = \frac{8.69}{24} \approx 0.36125

]

Aha! This pack comes to about $0.36 each. When we lay out the numbers, it’s clear; the first option does indeed give us a better price per battery.

In essence, comparing unit prices is fairly straightforward! It’s just a matter of division and careful consideration of the numbers. Wouldn't it be nice if we could apply this kind of clarity in all areas of our shopping? Think about it.

If stores advertised unit prices more prominently, wouldn’t it make life so much easier? Just imagine strolling through an aisle and seeing the actual cost per item clearly listed. It could transform grocery trips into smooth sailing rather than the roller coaster of guesswork.

But let's not get sidetracked! After all that math crunching, we’ve determined our winner: At approximately $0.34, the bulk buy of 620 batteries is the better deal when compared to the 24-pack option.

The takeaway here is simple, folks: always compare unit prices before heading to the checkout line. It’s like having a financial superhero in your back pocket! Now, that’s a secret weapon anyone can use. So, the next time you're faced with a choice to buy in bulk or opt for a smaller package, just remember the magic of unit pricing. Happy shopping!