# Ex 2.2 Q8 Fractions-and-Decimals-Solutions NCERT Maths Class 7

## Question

Vidya and Pratap went for a picnic. Their mother gave them a water bottle that contained \(5\) liters of water. Vidya consumed \(\begin{align}\frac{2}{5}\end{align}\) of the water. Pratap consumed the remaining water.

i) How much water did Vidya drink?

ii) What fraction of the total quantity of water did Pratap drink?

## Text Solution

**What is known?**

Total quantity of water and fraction of water consumed by Vidya.

**What is unknown?**

How much water did Vidya drink and what fraction of the total quantity of water did Pratap drink.

**Reasoning:**

Simply multiple the total quantity of water with fraction of water consumed by Vidya to find out how much she consumed. Subtract the fraction of water consumed by Vidya from total to get what fraction of water Pratap drink.

**Steps:**

Total quantity of water in a bottle \(=\rm{} 5\) liters

(i) Water consumed by Vidya

\[ \begin{align}&=\frac{2}{5} \text{of total water} \\&= \frac{2}{5} \times 5 = 2\end{align}\]

Thus, Vidya consumed \(2\) liters of water.

(ii) Water consumed by Pratap

\[\begin{align} &= 1 - \frac{2}{5} \\&=\frac{3}{5}{\text{ of the total water}}\end{align}\]

Thus, \(\begin{align}\frac{3}{5}\end{align}\)of the total water consumed by Pratap.