Question

$\text{Weight of tea leaves is reduced by}\frac{1}{2}lb$ $\text{from}2\frac{1}{4}\text{lb after drying.}$
Now, the weight of leaves now is lb.

• 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 lb from the weight of leaves before being dried.

$\text{Initial weight of the leaves before drying =}$
$2\frac{1}{4}=\frac{9}{4}lb$

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


$\text{∴ the weight reduced by drying =}\frac{1}{2}lb$
$\text{The equivalent of}\frac{1}{2}\text{is}\frac{2}{4}lb$

Subtracting it from the initial weight, we get:
$\text{Final weight =}\frac{9}{4}-\frac{1}{2}$

$=\frac{9}{4}-\frac{2}{4}$

$=\frac{9-2}{4}$

$=\frac{7}{4}$

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