Question

The students of Class XII are going on a trek to Gangotri. They have to pack their bags for six days and keep them light. They also have to take things that do not take too much space. So they will look for things that have both less volume and less weight. After all, they will carry their own bags while climbing the mountains!
They even dry the onions and tomatoes to make them light. One kg of onions or tomatoes becomes 100 g when the water inside dries up.
The list of food each person will need for one day:
• Rice: 100 g
• Flour (Atta): 100 g
• Pulses (Dal): $\frac{1}{3}$ the weight of rice and flour
• Oil: 50 g
• Sugar: 50 g
• Milk powder: 40 g (for tea, porridge, and hot drink)
• Tea: Around 10 g
• Dalia: 40 g for breakfast.
• Salt: 5 g
• Dried onions: 10 g
• Dried tomatoes: 10 g
(a) For 6 days, each person will need
• Rice and flour − __________ g
• Pulses − _________ g
• Dried onions − _________ g
(b) How much of fresh tomatoes should be dried for 6 days for 10 people?
(c) What is the total weight of food (for 6 days) in each person's bag?

Answer 1

(a) • Rice required per person per day = 100 g
Flour required per person per day = 100 g
Total rice and flour required for each person for a single day = 200 g
Thus, for 6 days, rice and flour required per person = 200 g $\times$ 6
= 1200 g

• Pulses required per person per day = $\frac{1}{3}$ the weight of rice and flour
Pulses required per person for days = 1200 g $\times$ $\frac{1}{3}$
= 400 g

• Dried onions required per person per day = 10 g
For 6 days, dried onions required per person = 6 $\times$ 10 g
= 60 g

(b) On drying 1 kg fresh tomatoes, we get 100 g of dried tomatoes.
1 kg = 1000 g
It means for 100 g dried tomatoes, we need 1000 g of fresh tomatoes.

So, for 1 g dried tomato, we need $\frac{1000}{100}=10$ g fresh tomatoes.

Hence, for 10 g dried tomatoes, we need 10 $\times$ 10 g = 100 g fresh tomatoes.

Thus, for 6 days, we need to dry 6 $\times$ 100 g = 600 g of fresh tomatoes.

(c) Total weight of food in each person's bag
= 600 g + 600 g + 300 g + 50 g $\times$ 6 + 50 g $\times$ 6 + 40 g $\times$ 6 + 10 g $\times$ 6 + 40 g $\times$ 6 + 5 g $\times$ 6 + 10 g $\times$ 6 + 10 g $\times$ 6
=2790 g