Question

5. Vidya and Pratap went for a picnic. Their mother gave them a water bottle that containce
5 litres of water. Vidya consumed of the water. Pratap consumed the remaining water
(a) How much water did Vidya drink?
(b) What fraction of the total quantity of water did Pratap drink?​

Answer 1

Correct Question :–

Vidya and Pratap went for a picnic. Their mother gave them a water bottle that contained 5 litres of water. Vidya consumed $\sf \frac{2}{5}$ of the water. Pratap consumed the remaining water.

(a) How much water did Vidya drink?

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

Given :–

• Total water = 5 litres
• Vidya drank = $\sf \frac{2}{5}$

To Find :–

1. How much water did Vidya drink ?
2. What fraction of the total quantity of water did Pratap drink ?

Answer :–

1. Vidya drank 2 litres.
2. $\frac{3}{5}$ litres is the fraction of the total quantity of water Pratap drank.

Solution :–

1. Vidya drank $\sf \frac{2}{5}$ [Given]

Therefore,

Water drank by Vidya = $\sf \frac{2}{5}$ × Total Water

→ $\sf \frac{2}{\cancel{5}}$ × $\cancel{5}$

→ 2 litres

Hence,

Vidya drank 2 litres of water.

━━━━━━━━━━━━━━━━━━━━━━━━

2. Water which is drank the pratap = Total Water - Water drank by Vidya

• Total water = 5 litres [Given]
• Water drank by Vidya = 2 litres [solved above]

→ 5 - 2

→ 3

Water drank by Pratap = 3 litres

Fraction of total water drunk by Pratap = $\frac{Water \: drank \: by \: Pratap}{Total \: water}$

→ $\frac{3}{5}$ litres

Hence,

In the fraction of total water drank by Pratap is $\frac{3}{5}$ litres.