Bunuel wrote:
There are approximately 2.2 pounds in one kilogram. To the nearest eighteenth, how many eighteenths of a kilogram are there in one pound?
A. 7
B. 8
C. 9
D. 39
E. 40
Since 1 kg = 2.2 lbs, so 1 lb = 1/2.2 = 10/22 = 5/11 kg. Therefore, there are (5/11)/(1/18) = 90/11 ≈ 8 eighteenths of a kilogram are there in one pound.
Alternate Solution:
Let’s first set up a proportion to find the number of kilograms in 1 pound.
2.2 pounds/1 kilogram = 1 pound/x kilograms
2.2x = 1
x = 1/2.2
Thus, 1 pound is 1/2.2 kilograms, or 0.454545 kilograms.
Now, we set up another proportion to convert the equivalent of 0.454545 kilograms to eighteenths (of a kilogram).
0.454545 = y/18
y ≈ 8.18
This means that 1/2.2 kilograms (0.454545 kilograms) is approximately equal to 8 eighteenths kilograms.
Answer: B
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