If the cost of 37 meter silk is rupees 3145, what length of this silk can be purchased for RS1445? for grade 7

To solve this problem, we can use the concept of **unitary method**. The unitary method involves finding the cost of 1 meter of silk and then using that to determine how much silk can be purchased for ₹1445.

### Step-by-step solution:

1. **Find the cost of 1 meter of silk:**
   \[
   \text{Cost of 1 meter of silk} = \frac{3145}{37} = 85 \, \text{rupees}
   \]
   
2. **Find how many meters of silk can be purchased for ₹1445:**
   \[
   \text{Length of silk} = \frac{1445}{85} = 17 \, \text{meters}
   \]

So, you can buy **17 meters** of silk for ₹1445.

Would you like more details on any of these steps or have any questions?

Here are 5 related questions for practice:
1. If 1 meter of silk costs ₹85, what is the cost of 25 meters?
2. How many meters of silk can you buy for ₹5100?
3. If the price of silk increases to ₹100 per meter, how much silk can you buy for ₹2000?
4. If 50 meters of silk costs ₹4250, what is the cost of 1 meter of silk?
5. How much would 45 meters of silk cost if 1 meter costs ₹85?

**Tip:** The unitary method is very useful when dealing with ratios and proportions. Always find the value of 1 unit to solve such problems easily!

If the cost of 37 meters of silk is ₹3145, what length of this silk can be purchased for ₹1445?

Learn how to calculate the length of silk that can be purchased for ₹1445 when 37 meters cost ₹3145. This problem uses the unitary method, focusing on ratio and proportion, ideal for Grade 7 students.

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