Question

The maximum weight a bag can hold is 7 kg. If the weight of clothes is 5/2 kg and food is 2 kg, the maximum weight of tea that can be carried is .

• A. 2 kg
• B. 3/2kg
• C. 5/2 kg
• D. 7/2 kg

Answer 1

The correct option is C 5/2 kg

Let the weight of tea that can be carried be $z$ kg.
Weight of clothes = $\frac{5}{2}$ kg
Weight of food = 2 kg
Total weight that the bag can hold
= 7 kg

$z$ + $\frac{5}{2}$ + 2 $\le$ 7
$\Rightarrow$ $z$ + $\frac{9}{2}$ $\le$ 7
$\Rightarrow$ $z$ + $\frac{9}{2}$ - $\frac{9}{2}$ $\le$ 7 - $\frac{9}{2}$
$\Rightarrow$ $z$ $\le$ $\frac{14-9}{2}$
$\Rightarrow$ $z$ $\le$ $\frac{5}{2}$ kg

$\therefore$ The maximum weight of tea that can be carried is $\frac{5}{2}$ kg.