To stitch a uniform 1 m 75 cm cloth is needed .Out of 153 metre cloth how many uniforms can be stitched and how much cloth will remain?
The correct answer and explanation is:
To find out how many uniforms can be stitched from 153 meters of cloth when each uniform requires 1 meter 75 centimeters, we need to follow a step-by-step approach.
✅ Step 1: Convert all measurements to the same unit
We are given:
- Cloth per uniform = 1 meter 75 centimeters
- Total cloth = 153 meters
First, convert 1 meter 75 cm to meters only:
1 meter 75 centimeters = 1 + (75 ÷ 100) = 1.75 meters
✅ Step 2: Divide total cloth by cloth needed per uniform
To find how many uniforms can be stitched: Number of uniforms=1531.75\text{Number of uniforms} = \frac{153}{1.75} Number of uniforms=87.43\text{Number of uniforms} = 87.43
This means we can stitch 87 full uniforms (since you can’t stitch a partial uniform from leftover cloth).
✅ Step 3: Find how much cloth remains
Now, calculate how much cloth is used for 87 uniforms: 87×1.75=152.25 meters87 \times 1.75 = 152.25 \text{ meters}
Now subtract that from the total cloth: 153−152.25=0.75 meters153 – 152.25 = 0.75 \text{ meters}
✅ Final Answer:
- 87 uniforms can be stitched.
- 0.75 meters (or 75 centimeters) of cloth will remain.
🧵 Explanation (300 words)
In textile or tailoring tasks, it’s important to work with uniform units for accuracy. In this question, the cloth requirement per uniform is given in mixed units: 1 meter and 75 centimeters. To make calculations straightforward, we first convert everything to meters.
1 meter 75 cm becomes 1.75 meters because 75 cm is 0.75 meters. We are given 153 meters of cloth in total. To find out how many uniforms can be made, we divide the total available cloth by the cloth needed for each uniform: 153÷1.75=87.43153 \div 1.75 = 87.43
Since we cannot stitch a fraction of a uniform, we round this down to 87 full uniforms.
Next, we calculate how much of the cloth is used in making 87 uniforms: 87×1.75=152.25 meters87 \times 1.75 = 152.25 \text{ meters}
We subtract this from the total cloth available: 153−152.25=0.75 meters153 – 152.25 = 0.75 \text{ meters}
So, 87 uniforms can be stitched and 0.75 meters (or 75 cm) will be left unused. This process shows how precise unit conversion and division play a vital role in real-life applications like tailoring.