One the the types of questions you’ll check out on both the satellite exam and the action exam space word problems. Friend know, instances where you’re given real-world scenarios, and you have actually to figure out the answer to a certain question based on the data she given.

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It’s usual to see conversions in word problems. Counter ask you to readjust a value from one type of measurement into another. In today’s article, we’re going to cover one specific kind of measure conversion: royal volume conversion.

Specifically, we’re walk to present you just how to number out how many cups room in 4 quarts. (Spoiler alert: 16 cups room in 4 quarts!)

We’ll teach you:

The math formula because that converting cups to quartsHow to figure out how numerous cups is 4 quarts by figuring out the cup to quarts conversionHow to check out a chart that describes different imperial volume conversions

Ready? stop dive in!

Measurement Systems: imperial vs Metric

Volume dimensions like ounces, cups, and also quarts are all part of the imperial system of measurement, i m sorry is the primary an approach of measurement used in the joined States. (Most the the world uses the metric system.)

The metric mechanism uses a basic 10 system, an interpretation each measurement increases by a element of 10. That’s why that so basic to convert in the metric system--all you need to do is relocate the decimal suggest left or right depending upon the unit. So because that example, it’s easy to convert 320 milliliters come simply move the decimal point one place to the left. And also voila! you’ve converted 320 milliliters to 32 centiliters!

Unfortunately, the imperial system doesn’t use a basic 10 system, which means conversions space much more confusing. In order come do imperial conversions correctly, you need to either a) memorize the various conversion worths or b) usage a conversion chart. That’s the most vital factor in figuring out our quarts to cup conversion!

But nothing worry. We’ve listed you a handy-dandy conversion chart below, and we recommend bookmarking this post so you’ll always have the handy!


Quart to Cup Conversion: The mathematics Formula

Okay, currently that friend understand how tricky conversions can be, let’s walk v one therefore you have the right to see just how to use a conversion graph to convert imperial measurements. walk ahead and scroll down to the chart. Follow the indict in that section to number out how many cups space in a quart.

Did you do it?

Then you know that 4 cups amounts to one quart!

To write that as a mathematical formula to resolve our conversion problem, we need to think about what we now know. We’ve determined that over there are 4 cups in one quart, i beg your pardon looks favor this together a math expression:

1Q = 4C

In this case, “Q” represents quarts and also “C” represents cups. (These no variables you must solve for.) currently all we have to do is occupational this equation.


How many Cups Is 4 Quarts?

Okay, currently that girlfriend know just how to do the math, let’s figure out how countless cups room in four quarts! To start off, stop go back to ours equation:

1Q = 4C

Now, let’s think about what us know. We know we have four quarts, therefore we’ll need to multiply the left side of the equation by 4 to acquire the ideal value.

But as you’ve learned, you can never readjust one side of the equation without doing the very same thing to the other side. That way you’ll have to multiply the right side through four, too. this is what the looks like:

4 * 1Q = 4 * 4C

Once we work-related that out, the final expression looks prefer this:

4Q = 16C

In various other words, we now recognize there space 16 cup in 4 quarts, and you’ve finished her conversion!


How to find Other conversions

Now that you know how to fix questions like “how countless cups is 4 quarts,” you deserve to do the very same for any kind of other royal conversion on our conversion chart. The basic steps are constantly the same:

Figure out what value you have and what worth you need. Ask yourself, “what carry out I know” to find the worth you have, and also “what do I should know” to uncover the value you need.Check the chart to obtain the appropriate factor. You’re trying to number out the 1 to 1 proportion here. So for our equation, the was 4 cups in 1 quart...but it might be anything! because that example, if you want to job-related backward indigenous quarts to cups, you’d have to multiply both sides of the equation by .25 instead.Set increase the conversion as an expression. This is wherein you collection the value you have actually as equal to the value you need.Multiply, multiply, multiply! main point both political parties by the exactly factor.

And it is it! that a little much more work to carry out than metric conversions. However once friend understand exactly how conversion works, it’s a item of cake!


Volume Conversion chart

Like we mentioned earlier, the easiest means to number out royal conversions is to recommendation an royal volume counter chart.

That’s why we’ve had a conversion chart here! Here’s exactly how to usage it because that a quarts to cups conversion:

Find the value that you recognize in the left column. So, if we’re do the efforts to number out how countless cups is 4 quarts, we understand how countless quarts us have. That method we desire to locate “quarts” in the left column.Now, uncover the worth you desire to transform to in the height row. In this case, we desire to discover “cups.” walk ahead and try that for you yourself below:
Tbsp. CupsPintsQuartsGallons
1 Tbsp.

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1 Cup16-----1/21/41/16
1 Pint322-----1/21/8
1 Quart6442-----1/4
1 Gallon2561684-----

You’ve now established that over there are four cups in one quart, i m sorry is what you’ll use to deal with our certain problem. But currently that you have actually this chart, you deserve to use the method we outlined above to do practically any conversion!


What"s Next?

Conversions are simply one kind of math difficulty you can face. Make certain you’re ready for the check by analysis our Ultimate guide to satellite Math Prep and our Ultimate guide to ACT mathematics Prep!

If you’re feeling pretty confident, why not test your skills against the 13 hardest sat Math concerns ever? If friend can overcome those, you’ll most likely do an excellent on the SAT, too! (Here space the hardest math concerns on the ACT, too.)

If you need a tiny extra practice, why not check out part math prep books? here’s a perform of our favorites.