For making 8 trousers of the same size, 14m 80 cm of cloth is needed. How much cloth will be required for each such trouser ?

Options

A. 1 m 85 cm
B. 1 m 87 cm
C. 2 m 85 cm
D. 1 m 95 cm

Answer

To find out how much cloth is required for each trouser when making 8 trousers with a total of 14 meters and 80 centimeters of cloth, we will follow these steps:

### Step 1: Convert the total length of cloth into a single unit
We have the total length of cloth required as 14 meters and 80 centimeters. To make calculations easier, we will convert everything into centimeters.

- **Conversion:**
- 1 meter = 100 centimeters
- Therefore, 14 meters = 14 × 100 = 1400 centimeters
- Now, add the additional 80 centimeters:
- Total length in centimeters = 1400 cm + 80 cm = 1480 cm

### Step 2: Calculate the length of cloth required for one trouser
Now that we have the total length of cloth in centimeters, we need to find out how much cloth is needed for one trouser.

- **Calculation:**
- Total cloth for 8 trousers = 1480 cm
- To find the length for one trouser, we will divide the total length by the number of trousers:
- Length of cloth for one trouser = Total length / Number of trousers
- Length of cloth for one trouser = 1480 cm / 8

### Step 3: Perform the division
Now, we will perform the division to find out how much cloth is required for one trouser.

- **Division:**
- 1480 cm ÷ 8 = 185 cm

### Step 4: Convert the result back to meters and centimeters
Finally, we can express the answer in meters and centimeters.

- **Conversion:**
- 185 cm can be converted to meters:
- 185 cm = 1 meter and 85 centimeters (since 100 cm = 1 m)

### Final Answer:
The cloth required for each trouser is **1 meter and 85 centimeters**.

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