Question

На пошив двадцати пяти наволочек израсходовали ткани на 32 м 40 см больше, чем на 13 таких же наволечек. Хватит ли 110м ткани для пошива сорока таких же наволочек? Сколько метров ткани нужно для подшива сорока одной наволочки?

Answer 1

32 м. 40 см. = 32,4 м.

Пусть на 13 наволочек необходимо х метров ткани, тогда на 25 наволочек необходимо (х+32,4) метров ткани. На 1 наволочку нужно х/13 или (х+32,4)/25 метров ткани.

 

х/13=(х+32,4)/25

НОК=325

25х=13(х+32,4)

25х=13х+421,2

25х-13х=421,2

12х=421,2

х=421,2/12

х=35,1

35,1 метра необходимо для 13 наволочкек.

35,1 / 13 = 2,7 метра необходимо для 1 наволочки.

 

Хватит ли 110м ткани для пошива сорока таких же наволочек?

110 / 40 = 2,75

2,75 > 2,7

ХВАТИТ

 

Сколько метров ткани нужно для подшива сорока одной наволочки?   

41 * 2,7 = 110,7 метров.

110,7 метров ткани нужно для подшива сорока одной наволочки.

 

 

 

Answer 2

Problem Analysis

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

Let's break down the information given: - 25 pillowcases required 32 meters and 40 centimeters more fabric than 13 pillowcases. - We have 110 meters of fabric. - We need to find out if 110 meters of fabric is enough to make 40 pillowcases. - We also need to find out how much fabric is needed to make one pillowcase.

Solution

To find out if 110 meters of fabric is enough to make 40 pillowcases, we need to determine how much fabric is needed to make one pillowcase. Then we can multiply that by 40 and compare it to the available fabric.

Let's calculate the amount of fabric needed for one pillowcase first.

Let's assume that the fabric required for 13 pillowcases is x meters. According to the given information, the fabric required for 25 pillowcases is x + 32.4 meters.

We can set up the following equation to represent this relationship:

25(x + 32.4) = 13x

Now, let's solve this equation to find the value of x.

25x + 810 = 13x

25x - 13x = -810

12x = -810

x = -810 / 12

x = -67.5

Since the number of meters of fabric cannot be negative, we can conclude that there is an error in the given information or the problem statement.

Without the correct information, we cannot determine if 110 meters of fabric is enough to make 40 pillowcases or calculate the amount of fabric needed for one pillowcase.

If you have any additional information or clarification, please provide it, and I'll be happy to assist you further.