Question

Помогите решить задачу плииииз!)На пошив двенадцати пяти наволочек израсходовали ткани на 32 м 40 см больше,чем на 13 таких же наволочек.Хватит ли 110 м ткани для пошива сорока таких же наволочек?Сколько метров ткани нужно для пошива сорока одной наволочки?И пожалуйста решите задачу без всяких иксов.)Мы это еще не проходили...

Answer 1

1) 25-13= 12 наволочек
2) 32,40:12= 2,7 м - на 1 наволочку  
3) 40*2,7= 108 м – уйдет ткани на пошив 40 наволочек  
4) 108+2,7= 110,7 м – уйдет на пошив 41 наволочки  
Ответ: 110 м ткани хватит на пошив 40 наволочек. На пошив 41 наволочки надо 110,7 метра ткани.

Answer 2

Problem Analysis

To solve this problem, we need to determine if 110 meters of fabric will be enough to make 40 pillowcases, and also find out how much fabric is needed to make one pillowcase.

Solution

Let's break down the problem step by step:

1. We are given that 12 pillowcases required 32 meters and 40 centimeters of fabric more than 13 pillowcases. 2. We need to find out if 110 meters of fabric will be enough to make 40 pillowcases. 3. We also need to calculate how much fabric is needed to make one pillowcase.

Calculations

1. Let's first find out how much fabric is required for one pillowcase. - We know that 12 pillowcases require 32 meters and 40 centimeters more fabric than 13 pillowcases. - So, the additional fabric required for 12 pillowcases is 32 meters and 40 centimeters. - Therefore, the additional fabric required for one pillowcase is (32 meters and 40 centimeters) divided by 12. - To convert centimeters to meters, we divide the centimeters by 100. - So, the additional fabric required for one pillowcase is (32 + 40/100) meters divided by 12. - Simplifying this, we get (32.4/12) meters per pillowcase.

2. Now, let's determine if 110 meters of fabric will be enough to make 40 pillowcases. - We know that the additional fabric required for one pillowcase is (32.4/12) meters. - Therefore, the total fabric required for 40 pillowcases is (32.4/12) meters multiplied by 40. - Simplifying this, we get (32.4 * 40/12) meters.

Answer

Based on the calculations above: - Each pillowcase requires approximately 2.7 meters of fabric. - To make 40 pillowcases, we would need approximately 10.8 meters of fabric. - Therefore, 110 meters of fabric will be enough to make 40 pillowcases.

Please note that the calculations provided are based on the given information and assumptions made.