Question

Sam purchased $2\frac{1}{4}\text{kg}$ of sugar from one shop and $3\frac{1}{2}\text{kg}$ of sugar from another shop. How much sugar did he buy in all?

• A. $5\frac{1}{8}\text{kg}$
• B. $2\frac{3}{4}\text{kg}$
• C. $5\frac{3}{4}\text{kg}$
• D. $\frac{23}{8}\text{kg}$

Answer 1

The correct option is C $5\frac{3}{4}\text{kg}$

Sugar bought from one shop
$=2\frac{1}{4}=\frac{9}{4}\text{kg}$
Sugar bought from the other shop
$=3\frac{1}{2}=\frac{7}{2}\text{kg}$
Total quantity of sugar purchased
$=(\frac{9}{4}+\frac{7}{2})\text{kg}$

$=\left(\frac{9+14}{4}\right)\text{kg}$

$=\frac{23}{4}\text{kg}$

$=5\frac{3}{4}\text{kg}$

Thus, the total quantity of sugar purchased equals $5\frac{3}{4}\text{kg}.$