Question

На базу завезли 750 м 50 см сукна,шелка и ситца.Причём ситца-на 43 м 76 см меньше,чем сукна,а шелка-на 32 м 25 см больше,чем ситца.Сколько ситца и шелка завезли на базу?

Answer 1

1) 43 м 75 см + 32 м 25 см = 76 м разница
2) 750 м 50 см - 76 м = 674 м 50 см всего без разницы
3) 674 м 50 см : 3 = 224 м 83 см ситца
4) 224 м 83 см + 43 м 75 см = 268 м 58 см сукна
5) 224 м 83 см + 32 м 25 см = 257 м 08 см шелка

Answer 2

Problem Analysis

We are given the following information: - 750 m 50 cm of fabric was brought to the base. - The amount of sateen fabric is 43 m 76 cm less than the amount of fabric. - The amount of silk fabric is 32 m 25 cm more than the amount of sateen fabric.

We need to determine the amount of sateen fabric and silk fabric that was brought to the base.

Solution

Let's denote the amount of fabric as F, the amount of sateen fabric as S, and the amount of silk fabric as K.

From the given information, we can write the following equations: 1. F = S + K (the total fabric is the sum of sateen and silk fabric) 2. S = F - 43 m 76 cm (the amount of sateen fabric is 43 m 76 cm less than the total fabric) 3. K = S + 32 m 25 cm (the amount of silk fabric is 32 m 25 cm more than the sateen fabric)

To solve these equations, we can substitute the values from equations 2 and 3 into equation 1.

Substituting equation 2 into equation 1: F = (F - 43 m 76 cm) + K

Substituting equation 3 into the above equation: F = (F - 43 m 76 cm) + ((F - 43 m 76 cm) + 32 m 25 cm)

Simplifying the equation: F = F - 43 m 76 cm + F - 43 m 76 cm + 32 m 25 cm

Combining like terms: F = 2F - 2 * 43 m 76 cm + 32 m 25 cm

Simplifying further: F = 2F - 87 m 52 cm + 32 m 25 cm F = 2F - 55 m 27 cm

Now, let's solve for F.

Subtracting F from both sides of the equation: 0 = F - 55 m 27 cm

Adding 55 m 27 cm to both sides of the equation: 55 m 27 cm = F

Therefore, the total amount of fabric brought to the base is 55 m 27 cm.

Now, let's substitute this value back into equation 2 to find the amount of sateen fabric.

S = F - 43 m 76 cm S = 55 m 27 cm - 43 m 76 cm S = 11 m 51 cm

Therefore, the amount of sateen fabric brought to the base is 11 m 51 cm.

Finally, let's substitute the value of S into equation 3 to find the amount of silk fabric.

K = S + 32 m 25 cm K = 11 m 51 cm + 32 m 25 cm K = 43 m 76 cm

Therefore, the amount of silk fabric brought to the base is 43 m 76 cm.

Answer

The amount of sateen fabric brought to the base is 11 m 51 cm, and the amount of silk fabric brought to the base is 43 m 76 cm.