Question

Ross buys a water jug of capacity $3\frac{4}{5}$ litres. If he buys another jug which is $2\frac{2}{3}$ times as large as the smaller jug, how many litres can the larger one hold?

• A. $\frac{152}{15}$
• B. $10\frac{2}{5}$
• C. $\frac{102}{5}$
• D. None of the above.

Answer 1

Answer: (A), (B)

$10\frac{2}{5}$

Capacity of first jug $=3\frac{4}{5}\text{litres}=\frac{19}{5}\text{litres}$

Now, the capacity of the second jug $=2\frac{2}{3}\text{times of the first jug}$

$\Rightarrow$ The capacity of the second jug $=(\frac{8}{3}\times \frac{19}{5})\text{litres}$

$=\frac{152}{15}\text{litres}$

$=10\frac{2}{5}\text{litres}$