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A student collected 20 mustard twigs eac...

A student collected 20 mustard twigs each with 10 nodes, 30 guava twigs each with 20 nodes and 40 calotropis twigs each with 10 nodes. Calculate total number of leaves he has been collected in his bag

A

1800

B

2000

C

2200

D

2400

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of calculating the total number of leaves collected from the mustard, guava, and calotropis twigs, we can follow these steps: ### Step 1: Calculate the total number of nodes for each type of twig. 1. **Mustard Twigs:** - Number of twigs = 20 - Nodes per twig = 10 - Total nodes from mustard twigs = Number of twigs × Nodes per twig - Total nodes from mustard twigs = 20 × 10 = 200 nodes 2. **Guava Twigs:** - Number of twigs = 30 - Nodes per twig = 20 - Total nodes from guava twigs = Number of twigs × Nodes per twig - Total nodes from guava twigs = 30 × 20 = 600 nodes 3. **Calotropis Twigs:** - Number of twigs = 40 - Nodes per twig = 10 - Total nodes from calotropis twigs = Number of twigs × Nodes per twig - Total nodes from calotropis twigs = 40 × 10 = 400 nodes ### Step 2: Calculate the total number of leaves from the nodes. Each node gives rise to 2 leaves. Therefore, we will multiply the total number of nodes for each type of twig by 2. 1. **Mustard Twigs Leaves:** - Total leaves from mustard twigs = Total nodes × 2 - Total leaves from mustard twigs = 200 × 2 = 400 leaves 2. **Guava Twigs Leaves:** - Total leaves from guava twigs = Total nodes × 2 - Total leaves from guava twigs = 600 × 2 = 1200 leaves 3. **Calotropis Twigs Leaves:** - Total leaves from calotropis twigs = Total nodes × 2 - Total leaves from calotropis twigs = 400 × 2 = 800 leaves ### Step 3: Calculate the total number of leaves collected. Now, we will add the total number of leaves from all three types of twigs. - Total leaves = Leaves from mustard + Leaves from guava + Leaves from calotropis - Total leaves = 400 + 1200 + 800 = 2400 leaves ### Final Answer: The total number of leaves collected by the student is **2400 leaves**. ---
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