Question

Nazima gave $2\frac{3}{4}L$ out of the $5\frac{1}{2}L$ of juice she purchased to her friends. How many litres of juice is left with her?

Answer 1

Finding the quantity of juice left

Quantity of juice Nazima has $=5\frac{1}{2}L$

She gave $2\frac{3}{4}L$ out of this to her friends.

Now, juice left with her $=5\frac{1}{2}-2\frac{3}{4}$

$\begin{array}{rcl}& =& \frac{5\times 2+1}{2}-\frac{4\times 2+3}{4}\\ & =& \frac{11}{2}-\frac{11}{4}\\ & =& \frac{11\times 2}{2\times 2}-\frac{11}{4}\because \left[LCM\right(2,4)=4]\\ & =& \frac{22-11}{4}\\ & =& \frac{11}{4}\\ & =& 2\frac{3}{4}L\end{array}$

Hence, $2\frac{3}{4}L$ of juice is left with Nazima.