How Close is 1 UK Quart to US Quarts?

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Discussion Overview

The discussion revolves around the conversion between UK quarts and US quarts, specifically exploring how to determine the closest equivalent of 1 UK quart in US quarts. The scope includes mathematical reasoning and problem-solving approaches related to unit conversion.

Discussion Character

  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • Some participants state that 5 UK quarts are approximately equal to 6 US quarts and seek to determine the closest equivalent of 1 UK quart.
  • One participant infers that 1 UK quart must be closer to 2 US quarts, but later acknowledges this inference may not be correct.
  • Another participant suggests that if 1 UK quart were near 2 US quarts, then 5 UK quarts would be expected to be about 9 US quarts, which contradicts the given information.
  • There is a discussion about eliminating options that are less than 1 US quart based on the relationship between the two quart measurements.
  • Some participants express uncertainty about how to manipulate the initial equation to isolate 1 UK quart.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the closest equivalent of 1 UK quart in US quarts, and multiple interpretations and approaches are presented without resolution.

Contextual Notes

Participants express varying levels of comfort with algebraic manipulation, indicating a potential limitation in their approach to solving the problem.

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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