Question

Пожалуйста решите задачу) После того как из рулона ткани на пошив костюмов израсходовали 20 целых 1\2 м, а на пошив пальто-18 целых 1\4 м, в рулоне осталось 3 целых 3\4 м ткани. Сколько метров ткани было в рулоне первоначально?

Answer 1

41/2+73/4+15/4=82/4+73/4+15/4=170/4=42 1/2

Answer 2

Problem Analysis

To solve this problem, we need to determine the initial length of fabric in the roll. We are given that after using 20 1/2 meters of fabric for making suits and 18 1/4 meters of fabric for making coats, there are 3 3/4 meters of fabric left in the roll. We need to find the initial length of fabric in the roll.

Solution

Let's assume the initial length of fabric in the roll is x meters.

The fabric used for making suits is 20 1/2 meters, which can be written as 20.5 meters.

The fabric used for making coats is 18 1/4 meters, which can be written as 18.25 meters.

The fabric left in the roll is 3 3/4 meters, which can be written as 3.75 meters.

To find the initial length of fabric in the roll, we can subtract the total fabric used from the initial length of fabric:

x - (20.5 + 18.25) = 3.75

Simplifying the equation:

x - 38.75 = 3.75

Adding 38.75 to both sides:

x = 3.75 + 38.75

x = 42.5

Therefore, the initial length of fabric in the roll was 42.5 meters.

Answer

The initial length of fabric in the roll was 42.5 meters.