Question

Extra clothes weigh 4/3kg and food weighs 1/4 kg. If Joe wants to leave more than 5 kg of luggage, the minimum weight of tea he must leave is .

• A. 19/4 kg
• B. 41/12 kg
• C. 19/12 kg
• D. 41/4 kg

Answer 1

The correct option is B 41/12 kg

Let the tea left at the hotel be $y$ kg.
Weight of extra clothes = $\frac{4}{3}$ kg
Weight of food = $\frac{1}{4}$ kg

So, in order to leave atleast 5 kg of his luggage, the weight of the tea package needs to be added such that the total weight of the tea package, food, and clothes must be greater than 5.
i.e.,

$y$ + $\frac{4}{3}$ + $\frac{1}{4}$ > 5

$\Rightarrow$ $y$ + $\frac{16+3}{12}$ > 5

$\Rightarrow$ $y$ +$\frac{19}{12}$ > 5

$\Rightarrow$ $y$ + $\frac{19}{12}$ - $\frac{19}{12}$ > 5 - $\frac{19}{12}$

$\Rightarrow$ $y$ > 5 - $\frac{19}{12}$

$\Rightarrow$ $y$ > $\frac{41}{12}$ kg