Question

Weight of Luggage 1: 2/5 of total weight
Weight of Luggage 2: 1/3 of total weight
If the two bags together weigh 22 kg, the total luggage weight is.

• A. 25 kg
• B. 30 kg
• C. 33 kg
• D. 28 kg

Answer 1

The correct option is B 30 kg

Given:
Let the total luggage weight be $x$.

Weight of Luggage 1: $\frac{2}{5}$ of total weight = $\frac{2}{5}$$x$

Weight of Luggage 2: $\frac{1}{3}$ of total weight =$\frac{1}{3}$$x$

Weight of both luggages together is 22 kg.

$\therefore$ $\frac{2}{5}$$x$ + $\frac{1}{3}$$x$ = 22

$\Rightarrow \frac{6+5}{15}$$x$ = 22

$\Rightarrow \frac{11}{15}$$x$ = 22

$\Rightarrow$ $x$ = 30 kg

$\therefore$ Total weight of the luggage is 30 kg.