How Close is 1 UK Quart to US Quarts?

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SUMMARY

5 UK quarts are approximately equal to 6 US quarts, establishing a conversion factor that indicates 1 UK quart is roughly equivalent to 1.2 US quarts. This conclusion allows for the elimination of options that suggest a US quart is larger than a UK quart. The correct answer to the question of which option is closest to 1 UK quart is D, 1.2 US quarts. The discussion emphasizes the importance of understanding unit conversions in practical applications.

PREREQUISITES
  • Understanding of unit conversions between UK and US measurements
  • Basic knowledge of algebra for manipulating equations
  • Familiarity with the concept of quarts as a unit of volume
  • Ability to interpret approximate equivalences in measurements
NEXT STEPS
  • Research the conversion factors between UK and US measurement systems
  • Learn how to perform unit conversions using algebraic methods
  • Explore the historical context and differences in measurement systems
  • Practice solving problems involving volume conversions in real-world scenarios
USEFUL FOR

Students, educators, and professionals involved in fields requiring precise measurements, such as cooking, science, and engineering, will benefit from this discussion.

Newt18
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5 UK quarts are approximately equal to 6 US quarts.

Based on the information above, which of the following is closest to 1 UK quart?
A 0.5 US quarts
B 0.7 US quarts
C 0.8 US quarts
D 1.2 US quarts
E 1.8 US quarts

How did you find the answer?
 
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Newt18 said:
5 UK quarts are approximately equal to 6 US quarts.

Based on the information above, which of the following is closest to 1 UK quart?
A 0.5 US quarts
B 0.7 US quarts
C 0.8 US quarts
D 1.2 US quarts
E 1.8 US quarts

How did you find the answer?

Hi Newt18, :)

Welcome to MHB!

What have you tried? Since you are given that 5 UK quarts are equal to 6 US quarts what can you say about 1 UK quart?
 
Sudharaka said:
Hi Newt18, :)

Welcome to MHB!

What have you tried? Since you are given that 5 UK quarts are equal to 6 US quarts what can you say about 1 UK quart?

Well I inferred that 1 UK quart must be something closer to 2 US quarts. But the inference was not correct.
 
Newt18 said:
5 UK quarts are approximately equal to 6 US quarts.

Based on the information above, which of the following is closest to 1 UK quart?
A 0.5 US quarts
B 0.7 US quarts
C 0.8 US quarts
D 1.2 US quarts
E 1.8 US quarts

How did you find the answer?

Newt18 said:
Well I inferred that 1 UK quart must be something closer to 2 US quarts. But the inference was not correct.

If it were near 2 US quarts then you'd expect 5 UK quarts to be about 9 US quarts.

We are told that 5 UK quarts is near 6 US ones so it follows that a US quart is smaller than a UK one - that means we can eliminate any answer which is less than 1.

Do you know a way to change 5 UK quarts into 1 UK quart?
 
SuperSonic4 said:
If it were near 2 US quarts then you'd expect 5 UK quarts to be about 9 US quarts.

We are told that 5 UK quarts is near 6 US ones so it follows that a US quart is smaller than a UK one - that means we can eliminate any answer which is less than 1.

Do you know a way to change 5 UK quarts into 1 UK quart?
I understand that you can get the answer by trying all options. But I am not finding it through actually working it out.
 
I would begin with:

$$5\text{ UK quarts}\approx6\text{ US quarts}$$

Now, what should you do so that you have 1 UK quart on the left side?
 
MarkFL said:
I would begin with:

$$5\text{ UK quarts}\approx6\text{ US quarts}$$

Now, what should you do so that you have 1 UK quart on the left side?

Thanks. I really didn't see the need for Algebra in this problem up until now.
 

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