Question

В ателье сшили 15 костюмов расходуя на каждый зм 50 см шерстяной ткани. на эти костюмы израсходовали третью часть имевшейся ткани. Cколько ткани было в ателье?Помогите пожалуйста решить задачу

Answer 1

15*50=750(см)
750*3=2250(см)=22,5(м)

Answer 2

Problem Analysis

To solve this problem, we need to find the total amount of fabric that was initially available in the atelier. We know that 15 costumes were made, and each costume required 50 cm of fabric. Additionally, we are told that one-third of the available fabric was used for these costumes.

Solution

Let's assume the total amount of fabric initially available in the atelier is x cm.

According to the problem, each costume required 50 cm of fabric, and a total of 15 costumes were made. Therefore, the total amount of fabric used for the costumes is 15 * 50 = 750 cm.

We are also told that one-third of the available fabric was used for these costumes. So, we can set up the following equation:

(1/3) * x = 750

To find the value of x, we can multiply both sides of the equation by 3:

x = 750 * 3 = 2250 cm

Therefore, there were initially 2250 cm of fabric in the atelier.

Answer

The atelier initially had 2250 cm of fabric.

Verification

Let's verify our answer using the given information. We know that 15 costumes were made, and each costume required 50 cm of fabric. Therefore, the total amount of fabric used for the costumes is 15 * 50 = 750 cm.

We are also told that one-third of the available fabric was used for these costumes. One-third of 2250 cm is (1/3) * 2250 = 750 cm.

Our answer matches the information given in the problem, so we can be confident that our solution is correct.