Understanding Percentages: Cracking Molly's Bowling Problem

When it comes to preparing for the Canadian Forces Aptitude Test (CFAT), having a solid grasp of math—especially percentages—can be a game-changer. Today, let’s tackle a practical example that will help you understand how to manage percentage increases in a fun way. Spoiler alert: it involves bowling!

So, here’s the setup: Molly increased her original bowling score by 20% and ended up with a sparkling new score of 75. The question arises—what was her original score? You might think, “This sounds tricky!” but let’s break it down together, you know?

First up, let’s express Molly’s original score as “X.” If we need to increase her score by 20%, it’s not just a simple addition. We’re talking about calculating 20% of X and then adding it back to the original score. So, the math looks something like this:

New Score = Original Score + (20% of Original Score)
New Score = X + 0.2X
New Score = 1.2X

Now, we know from the problem that Molly’s new score is 75. We can set this up as an equation:

1.2X = 75

Here’s where the magic happens. To find her original score (X), all we need to do is divide both sides of the equation by 1.2:

X = 75 / 1.2 = 62.5

And there you have it! Molly's original score was 62.5. Can you feel the satisfaction of figuring that out? Just like perfecting your bowling technique, hitting the right score on math problems takes practice and skill.

This example is a nugget of wisdom for those gearing up for the CFAT. Not only does it sharpen your math skills, but it also connects you to problems you might actually use in real life. And who knows? You might find yourself at a bowling alley, casually calculating your score while impressing your friends.

Before we wrap this up, let’s think about why understanding these calculations is essential. The CFAT tests not just your ability to perform mathematical operations, but also your problem-solving skills—something crucial in military scenarios. So, practicing problems like Molly’s is not just beneficial; it’s smart prep for a hopeful career in the Canadian Forces.

In summary, when you encounter a percentage problem, break it down clearly like we’ve done. With a little time and practice, soon enough, these problems will feel like second nature. Whether you're a prospective recruit or just someone wanting to sharpen your math skills, being well-prepared is fundamental. Now, who’s ready to hit the lanes (or books) next?