36 . Case Study 1

The Government takes all necessary steps to help the needy people at the time of pandemic. One such a step includes distribution of general food items required by households to fulfil their basic needs.

Bags containing 3 kg wheat flour , 5 kg 500g rice and 2 kg 500g sugar were made for this purpose. The cost of wheat flour, rice and sugar were Rs.20 per kg, Rs. 15per kg and Rs.40 per kg

respectively. Based on the above information answer the following questions.

(a) Find total weight of each bag.

(b) Find total cost of each bag.

(c) Find the cost of 100 kg rice bag.

Let's address each of the questions one by one.

### (a) Find the total weight of each bag.
The total weight of the bag is the sum of the weights of the wheat flour, rice, and sugar.

- Wheat flour: \( 3 \text{ kg} \)
- Rice: \( 5 \text{ kg} + 0.5 \text{ kg} = 5.5 \text{ kg} \)
- Sugar: \( 2 \text{ kg} + 0.5 \text{ kg} = 2.5 \text{ kg} \)

**Total weight** = \( 3 \text{ kg} + 5.5 \text{ kg} + 2.5 \text{ kg} = 11 \text{ kg} \)

### (b) Find the total cost of each bag.
The total cost of the bag is calculated by multiplying the weight of each item by its respective cost per kg.

- Cost of wheat flour: \( 3 \text{ kg} \times Rs. 20/\text{kg} = Rs. 60 \)
- Cost of rice: \( 5.5 \text{ kg} \times Rs. 15/\text{kg} = Rs. 82.5 \)
- Cost of sugar: \( 2.5 \text{ kg} \times Rs. 40/\text{kg} = Rs. 100 \)

**Total cost** = \( Rs. 60 + Rs. 82.5 + Rs. 100 = Rs. 242.5 \)

### (c) Find the cost of a 100 kg rice bag.
The cost of a 100 kg rice bag can be calculated by multiplying the weight of the rice bag by its cost per kg.

- **Cost of 100 kg rice bag** = \( 100 \text{ kg} \times Rs. 15/\text{kg} = Rs. 1500 \)

### Summary:
(a) Total weight of each bag: **11 kg**

(b) Total cost of each bag: **Rs. 242.5**

(c) Cost of a 100 kg rice bag: **Rs. 1500**

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Do you want details or have any questions? Here are 5 questions that could expand on this:

1. How would the total cost change if the price of sugar increased by Rs. 5 per kg?
2. If the government distributed 10,000 such bags, what would be the total cost?
3. How many such bags can be made from 1 ton (1000 kg) of wheat flour?
4. If the cost of wheat flour decreased by Rs. 5 per kg, how would that affect the total cost of each bag?
5. What would be the weight and cost of a bag containing 4 kg wheat flour, 3 kg rice, and 1 kg sugar?

**Tip:** When dealing with weight and cost calculations, always ensure that units are consistent before performing any arithmetic operations.

Learn how to calculate the total weight and cost of food distribution bags containing wheat flour, rice, and sugar. This problem involves arithmetic calculations and unit conversions, covering the cost per kg of each item. Suitable for students in Grades 5-7.

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