Crack the Code: How to Solve "What Number Divided by 2 Equals 150% of 60"

When facing tricky math questions on the High School Placement Test (HSPT), understanding how to manipulate numbers can make all the difference. Take this riddle: What number divided by 2 is 150 percent of 60? Sounds complicated? Don’t worry, let’s break it down step-by-step, so you can jump in with both feet!

First, we start by figuring out what "150 percent of 60" really means. Here’s a neat little trick: converting percentages into decimals can really simplify things. So, 150 percent becomes 1.5 when you shift the decimal point. From there, we multiply it by 60:

1.5 × 60 = 90.

Now we know that 150 percent of 60 equals 90. That’s a solid number to have in your back pocket! The next part of our equation asks us to find a number that divided by 2 gives us this result.

Let’s represent this mysterious number as ( x ). Now the equation looks like this:

( \frac{x}{2} = 90 ).

Hear that? It’s the sound of clarity! To figure out what ( x ) is, we simply need to multiply both sides of the equation by 2. It’s just like waving a magic wand over the numbers:

( x = 90 × 2 = 180 ).

So, the answer to our initial puzzle is 180! But hang on a second, the question initially threw us a little curveball because it mentions “divided by 2.” What’s truly fascinating here is how often we can overlook the details in questions, especially under the pressure of a timed test.

Have you ever noticed how the slightest shift in a question can completely change how you approach it? This isn’t just about finding the right answer; it’s about sharpening your problem-solving skills for various formats—whether in school, a placement test, or even casual quizzes among friends.

If you’re gearing up to tackle the HSPT, understanding these little nuances will provide you a significant edge. And remember, math isn’t just about numbers; it’s about developing a mindset. When you encounter new problems, ask yourself: What do I know? What’s being asked? Building those thought patterns can be just as valuable as the calculations themselves.

By practicing problems like these, you'll not only ace your test but also gain a deeper appreciation for the beauty of numbers. So, the next time you hear a tricky question, don’t panic! Just remember your approach, break it down step-by-step, and you’ll find the light at the end of the tunnel. After all, math is more than just numbers—it’s a journey of curiosity and exploration!