Question

A flour bag weighs 44 pounds 12 ounces and contains 4 ounces of stuffing. How much does the bag weigh in total?

• A. $20\text{kg}$ and $400\text{g}$
• B. $2\text{kg}$ and $40\text{g}$
• C. $2\text{kg}$ and $400\text{g}$
• D. $20\text{kg}$ and $40\text{g}$

Answer 1

The correct option is A $20\text{kg}$ and $400\text{g}$

Total weight of the bag $=44\text{lbs +12 oz + 4 oz}$
$=44\text{lbs +16 oz}$

Note 1:
$1\text{kg = 2.2 lbs}$
$1\text{lbs}=\frac{1}{2.2}\text{kg}$
So,
$44\text{lbs}=\frac{1}{2.2}\times 44\text{kg}$
$=\frac{44\times 10}{2.2\times 10}$
$=\frac{22\times 20}{22}$
$=20\text{kg}$

Note 2:
$1\text{g}=0.04\text{oz}$
$1\text{oz}=\frac{1}{0.04}\text{g}$
So,
$16\text{oz}=\frac{1}{0.04}\times 16\text{g}$
$=\frac{16\times 100}{0.04\times 100}$
$=\frac{1600}{4}$
$=400\text{g}$

Answer:
Total weight of the bag will be $20\text{kg and}400\text{g.}$