Question

У одной закройщицы было 15 м ткани, а у другой - 12 м. Из этой ткани они скроили платья, расходуя на каждое по 3 м ткани. Сколько всего платьев они скроили? Реши задачу двумя способами.

Answer 1

(15+12):3=9
15:3+12:3=9

Answer 2

15:3+12:3=9
(15+12):3=9

Answer 3

Problem Analysis

We are given that one seamstress has 15 meters of fabric, while another has 12 meters of fabric. They use 3 meters of fabric to make each dress. We need to determine how many dresses they can make in total.

Solution 1: Using Division

To solve this problem, we can divide the total amount of fabric each seamstress has by the amount of fabric used for each dress.

1. Seamstress 1 has 15 meters of fabric. Dividing 15 by 3 gives us 5 dresses. 2. Seamstress 2 has 12 meters of fabric. Dividing 12 by 3 gives us 4 dresses.

Therefore, the two seamstresses can make a total of 5 + 4 = 9 dresses.

Solution 2: Using Subtraction

Alternatively, we can solve this problem by subtracting the amount of fabric used for each dress from the total amount of fabric each seamstress has until we can no longer make a full dress.

1. Seamstress 1 has 15 meters of fabric. Subtracting 3 meters for each dress, we can make 15 - 3 = 12 meters of fabric remaining. We can make another dress with this remaining fabric, leaving us with 12 - 3 = 9 meters of fabric. We can make another dress with this remaining fabric, leaving us with 9 - 3 = 6 meters of fabric. We can make another dress with this remaining fabric, leaving us with 6 - 3 = 3 meters of fabric. Finally, we can make one more dress with this remaining fabric, leaving us with 3 - 3 = 0 meters of fabric. In total, Seamstress 1 can make 5 dresses. 2. Seamstress 2 has 12 meters of fabric. Subtracting 3 meters for each dress, we can make 12 - 3 = 9 meters of fabric remaining. We can make another dress with this remaining fabric, leaving us with 9 - 3 = 6 meters of fabric. We can make another dress with this remaining fabric, leaving us with 6 - 3 = 3 meters of fabric. Finally, we can make one more dress with this remaining fabric, leaving us with 3 - 3 = 0 meters of fabric. In total, Seamstress 2 can make 4 dresses.

Therefore, the two seamstresses can make a total of 5 + 4 = 9 dresses.

Conclusion

In conclusion, the two seamstresses can make a total of 9 dresses using the given amount of fabric. This can be calculated by dividing the total amount of fabric by the amount of fabric used for each dress or by subtracting the amount of fabric used for each dress from the total amount of fabric until no more dresses can be made.