Question

The weight of the tea leaves is reduced by $\frac{1}{2}$ kg initially from $2\frac{1}{4}$ kg after drying. The weight of the leaves now iskg.

• A. $\frac{5}{4}$
• B. $\frac{6}{4}$
• C. $\frac{7}{4}$
• D. 2

Answer 1

The correct option is C $\frac{7}{4}$

Final weight of the tea leaves can be found by subtracting the weight of
1/2 kg from the weight of leaves before they are dried.

Hence,
Initial weight of the leaves before drying = $2\frac{1}{4}$ = $\frac{9}{4}$ kg

On the number line, this lies between 2 and 3, and 1 part out of 4 parts i.e.,

The weight reduced by drying = $\frac{1}{2}$ kg
The equivalent of $\frac{1}{2}$ = $\frac{2}{4}$ kg

Subtracting it from the initial weight,
Final weight = $\frac{9}{4}$ - $\frac{1}{2}$
= $\frac{9}{4}$ - $\frac{2}{4}$
= $\frac{7}{4}$ kg

Since the weight is being subtracted, the final weight lies 2 units left of $\frac{9}{4}$ on the number line i.e., at $\frac{7}{4}$ kg.