Question

Ross has a jug with a capacity of $3\frac{4}{5}$ liters. He buys a new jug that is $2\frac{2}{3}$ times as large as the one he already has. What wiil the capacity of the new jug be?

• A. $15\frac{2}{5}L$
• B. $12\frac{3}{5}L$
• C. $10\frac{2}{5}L$
• D. $10\frac{3}{5}L$

Answer 1

The correct option is C $10\frac{2}{5}L$

Capacity of the jug Ross has $=3\frac{4}{5}=\frac{19}{5}L$

Capacity of the new jug that Ross bought $=2\frac{2}{3}$ times that of the jug he already has
$=\frac{8}{3}$times that of the jug he already has

Capacity of the new jug $=\frac{8}{3}\times \frac{19}{5}$

$=\frac{8}{3}\times \frac{19}{5}$

$=\frac{152}{15}$

$=10\frac{2}{5}L$

Hence, Ross buys a jug with a capacity of $10\frac{2}{5}L$