Question

The weight of an empty gas cylinder is $16\frac{4}{5}\text{kg}$ and it contains $14\frac{2}{3}\text{kg}$ of gas. What is the weight of the cylinder filled with gas?

Answer 1

To solve this question first we convert the given mix fraction into improper fraction .

Weight of empty gas cylinder $=16\frac{4}{5}\text{kg=}\frac{84}{5}\text{kg}$

Weight of the gas $=14\frac{2}{3}\text{kg=}\frac{44}{3}\text{kg}$

Now weight of the cylinder filled with gas $=\frac{84}{5}+\frac{44}{3}=\frac{84\times 3+44\times 5}{15}=\frac{252+220}{15}=\frac{472}{15}\text{kg}$

Now we convert the answer into mix fraction such that $=\frac{472}{15}=31\frac{7}{15}\text{kg}$

Hence weight of the cylinder filled with gas is $31\frac{7}{15}\text{kg}$