MHB How Close is 1 UK Quart to US Quarts?

[Newt18]

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?

 

[Sudharaka]

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?

 

[Newt18]

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.

 

[SuperSonic4]

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?

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?

 

[Newt18]

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.

 

[MarkFL]

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?

 

[Newt18]

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.