Question

Магазин за 4 дня продал кусок ткани ценой 86 руб. за метр. В первый день продали 15 метров. Во второй день 2/9 остатка. В трейтий день на 50 % больше чем во второй день . А в четвертый остальную часть куска. Сколько метров ткани было в куске , если ткань проданая в четвертый день стоила 1 тыс. 32 руб.

Answer 1

пусть x-всего метров

в первый день продали 15 остаток Х-15

второй день 2(Х-15)/9

третий 2(Х-15)/9+(Х-15)/9 (это на 50процентов больше второго)=3(Х-15)/9

четвертый день Х-15-2(Х-15)/9-3(Х-15)/9=Х-15-5(Х-15)/9 и в то жеврнмя это 1032/86=12

приравниваем имеум

Х-15-5Х/9+75/9=12

4Х/9=12-75/9+15=168/9

Х=168*9/9*4=168/4=42

Answer 2

Problem Analysis

We are given the following information: - A fabric store sold a piece of fabric for 86 rubles per meter. - On the first day, they sold 15 meters. - On the second day, they sold 2/9 of the remaining fabric. - On the third day, they sold 50% more fabric than on the second day. - On the fourth day, they sold the remaining portion of the fabric for 1,032 rubles.

We need to determine the total length of the fabric.

Solution

Let's break down the problem step by step.

1. On the first day, they sold 15 meters of fabric. 2. On the second day, they sold 2/9 of the remaining fabric. 3. On the third day, they sold 50% more fabric than on the second day. 4. On the fourth day, they sold the remaining portion of the fabric for 1,032 rubles.

To find the total length of the fabric, we need to work backward from the fourth day to the first day.

Let's assume the total length of the fabric is x meters.

On the fourth day, they sold the remaining portion of the fabric for 1,032 rubles. Since the price per meter is 86 rubles, we can calculate the length of fabric sold on the fourth day as:

x - (15 + (2/9)x + (3/2)(2/9)x) = 1,032

Simplifying the equation:

x - (15 + (2/9)x + (3/9)x) = 1,032

x - (15 + (5/9)x) = 1,032

Combining like terms:

(4/9)x - 15 = 1,032

(4/9)x = 1,032 + 15

(4/9)x = 1,047

Multiplying both sides by 9/4 to isolate x:

x = (1,047) * (9/4)

x = 2,358.75

Therefore, the total length of the fabric was approximately 2,358.75 meters.

Answer

The total length of the fabric in the piece was approximately 2,358.75 meters.