To stitch a suit, 3m and 55 cm of cloth is needed. How many suits can be made out of 50 m cloth and how much of the cloth will be left over?

Answer

To solve the problem of how many suits can be made from 50 meters of cloth and how much will be left over, we will follow these steps:

### Step 1: Convert the cloth requirement into meters
The cloth needed for one suit is given as 3 meters and 55 centimeters. We need to convert this into meters for easier calculations.

- **Conversion**: 55 centimeters = 0.55 meters
- Therefore, the total cloth required for one suit = 3 meters + 0.55 meters = 3.55 meters.

### Step 2: Determine how many suits can be made
Now, we need to find out how many suits can be made from 50 meters of cloth.

- **Calculation**:
\[ \text{Number of suits} = \frac{\text{Total cloth available}}{\text{Cloth required for one suit}} = \frac{50 \text{ meters}}{3.55 \text{ meters}} \]

### Step 3: Perform the division
To perform the division, we can simplify it by removing the decimal point.

- Multiply both the numerator and denominator by 100 to eliminate the decimal:
\[ \frac{50 \times 100}{3.55 \times 100} = \frac{5000}{355} \]

Now, we divide 5000 by 355.

1. 355 goes into 5000 approximately 14 times (since \( 355 \times 14 = 4970 \)).
2. Subtract 4970 from 5000 to find the remainder:
\[ 5000 - 4970 = 30 \]

### Step 4: Calculate the leftover cloth
Now we know that 14 suits can be made, and we have a remainder of 30. Since we initially converted everything to meters, we need to convert the leftover back to centimeters.

- **Conversion**: 30 meters = 0.30 meters or 30 centimeters.

### Final Answer
- **Number of suits that can be made**: 14 suits
- **Leftover cloth**: 30 centimeters