Answer :
Sure, let's solve both questions step-by-step:
### Part 1: Cloth and Shirts
#### Step 1: Convert the cloth needed for one shirt to centimeters
1 meter is equivalent to 100 centimeters, so first convert the meters to centimeters and then add the remaining centimeters.
For one shirt, the cloth needed is:
\( 2 \, \text{meters} \times 100 \, \text{centimeters/meter} + 15 \, \text{centimeters} = 200 \, \text{centimeters} + 15 \, \text{centimeters} = 215 \, \text{centimeters} \)
#### Step 2: Calculate the total amount of cloth in centimeters
The total amount of cloth is 40 meters, so we need to convert this to centimeters:
\( 40 \, \text{meters} \times 100 \, \text{centimeters/meter} = 4000 \, \text{centimeters} \)
#### Step 3: Calculate the number of shirts that can be made
To find out how many shirts can be made, divide the total cloth by the cloth needed for one shirt:
\( \text{Number of shirts} = \frac{\text{Total cloth in cm}}{\text{Cloth per shirt in cm}} \)
\( \text{Number of shirts} = \frac{4000}{215} \)
Let's do the division: 4000 divided by 215 gives us approximately 18 shirts since we can only make full shirts, and we ignore the fractional part.
#### Step 4: Calculate the remaining cloth
The remaining cloth can be calculated using the remainder from the division:
\( \text{Remainder cloth in cm} = \text{Total cloth in cm} \mod \text{Cloth per shirt in cm} \)
\( \text{Remainder cloth in cm} = 4000 \mod 215 = 130 \, \text{centimeters} \)
#### Step 5: Convert the remaining cloth back to meters and centimeters
130 centimeters is equivalent to 1 meter and 30 centimeters because 100 centimeters make 1 meter.
### Part 2: Curd and Glasses
#### Step 1: Convert the total amount of curd to milliliters
1 liter is equivalent to 1000 milliliters, so first convert the liters to milliliters and then add the remaining milliliters:
\( 4 \, \text{liters} \times 1000 \, \text{milliliters/liter} + 500 \, \text{milliliters} = 4000 \, \text{milliliters} + 500 \, \text{milliliters} = 4500 \, \text{milliliters} \)
#### Step 2: Calculate the number of glasses
Each glass can hold 25 milliliters of curd, so to find out how many glasses we can fill, divide the total curd by the capacity of one glass:
\( \text{Number of glasses} = \frac{\text{Total curd in ml}}{\text{Capacity of one glass in ml}} \)
\( \text{Number of glasses} = \frac{4500}{25} \)
Let's do the division: 4500 divided by 25 gives us exactly 180 glasses.
### Conclusion
1. From 40 meters of cloth, 18 shirts can be stitched and there will be 1 meter and 30 centimeters of cloth remaining.
2. From 4 liters and 500 milliliters of curd, 180 glasses can be filled, each of 25 milliliters capacity.
