Mastering Workkeys Math: Tackling Ratio and Proportion

If you can travel 324 miles on 18 gallons of gas, how far can you travel on 41 gallons?

• A. 500 miles
• B. 600 miles
• C. 738 miles
• D. 824 miles

Answer: (C)

To determine how far you can travel on 41 gallons of gas based on the provided information, you first need to calculate the miles per gallon (mpg) you achieve with the initial data. You can calculate the miles per gallon by dividing the total miles traveled by the gallons used. In this case, you traveled 324 miles using 18 gallons of gas. So, the calculation is: \[ \text{Miles per gallon} = \frac{324 \text{ miles}}{18 \text{ gallons}} = 18 \text{ mpg} \] Now, knowing that you can travel 18 miles for each gallon of gas, you can find out how far you can travel on 41 gallons. Multiply the mpg by the number of gallons: \[ \text{Distance on 41 gallons} = 18 \text{ mpg} \times 41 \text{ gallons} = 738 \text{ miles} \] This calculation shows that with 41 gallons, you can travel 738 miles, which aligns with the correct answer provided. The approach demonstrates the application of a basic ratio and proportion problem, making it a critical skill in solving similar problems in the Workkeys Math Practice Test.

Picture this: you’re cruising down the highway, windows down, the breeze flowing through your hair. But wait—how far can you really go on that tank of gas? Whether you’re heading out for a weekend trip or prepping for the Workkeys Math Test, understanding how to calculate distance with gas consumption is a skill everyone should have. It’s not just about math; it’s about real-life applications that make life easier (and maybe a little more exciting, too).

Here's a quick scenario to consider: You can travel 324 miles on 18 gallons of gas. So, the burning question is: how far can you go with 41 gallons? If this seems a little perplexing, don’t sweat it. We’re about to break it down.

First things first—let’s kick things off with figuring out how many miles per gallon (mpg) you're getting with the initial data. This isn’t rocket science, but it does require a little bit of division. You just need to divide the total miles you've traveled (that’s 324 miles) by the gallons you used (18 gallons, in this case). So here we have the magic formula:

[

\text{Miles per gallon} = \frac{324 \text{ miles}}{18 \text{ gallons}} = 18 \text{ mpg}

]

Now that we know you're getting 18 miles for every gallon of gas, it’s time to apply that knowledge to something new. Here comes the fun part! You want to know how far you can travel on 41 gallons. Let’s multiply that magic number—18 mpg—by the 41 gallons:

[

\text{Distance on 41 gallons} = 18 \text{ mpg} \times 41 \text{ gallons} = 738 \text{ miles}

]

And there you have it! Armed with 41 gallons, you can hit the road for a whopping 738 miles. Isn’t that satisfying? This example not only shows you the answer but also highlights the beautiful simplicity of ratio and proportions in real-world scenarios.

Now, let’s step back for a moment. Why does this matter on the Workkeys Math Test? Well, you’ll likely encounter similar ratio problems, and being able to tackle them with ease can give you the confidence to breeze through your exam. Imagine walking into that testing room with the certainty that you can handle anything thrown your way!

Additionally, mastering these calculations can serve you well beyond the realm of testing. Whether you're planning a road trip or trying to manage your budget better, understanding ratios helps you make informed decisions every day. It’s a vital life skill—much like knowing how to change a tire or cook a meal!

So, as you gear up for your Workkeys Math Test, take a moment to appreciate the practical applications of what you’re learning. It’s more than just numbers on a page; it’s about honing your ability to think critically and creatively solve problems.

Remember, each practice question brings you one step closer to acing that test. So grab that calculator, learn the tricks of the trade, and get ready to wow yourself with what you can achieve. You’ve got this!