Question 15 Marks
Vidya and Pratap went for a picnic. Their mother gave them a water bottle that contained $5$ litres of water. Vidya consumed $\frac{2}{5}$ of the water. Pratap consumed the remaining water.
$i.$ How much water did Vidya drink?
$ii.$ What fraction of the total quantity of water Pratap drink?
$i.$ How much water did Vidya drink?
$ii.$ What fraction of the total quantity of water Pratap drink?
Answer
View full question & answer→$i.$ The quantity of water drank by Vidya
$=\frac{2}{5}$ of $5$ litres
$=\frac{2}{5} \times 5$ litres
$=\frac{2 \times 5}{5}$ litres
$=\frac{10}{5}$ litres
$=2 $ litres.
$ii.$ The quantity of water drank by Pratap
$=5$ litres $-2$ litres
$=3$ litres
$\therefore$ The fraction of the total quantity of water drink by Pratap
$=\frac{\text { Quantity of water drink by Pratap }}{\text { Total quantity of water }}$
$=\frac{3}{5}$
$=\frac{2}{5}$ of $5$ litres
$=\frac{2}{5} \times 5$ litres
$=\frac{2 \times 5}{5}$ litres
$=\frac{10}{5}$ litres
$=2 $ litres.
$ii.$ The quantity of water drank by Pratap
$=5$ litres $-2$ litres
$=3$ litres
$\therefore$ The fraction of the total quantity of water drink by Pratap
$=\frac{\text { Quantity of water drink by Pratap }}{\text { Total quantity of water }}$
$=\frac{3}{5}$