Question

Магазин продаёт ткань четырёх видов - ситец, шерсть, вельвет и полотно. За день было продано 124,8 м ситца, шерсти - в 10 раз меньше, чем ситца, вельвета - на 49,6 м больше чем шерсти, а полотна столько, сколько шерсти и вельвета вместе. Сколько ткани было продано в этот день?

Answer 1

124,8 : 10=12,48 (м)- шерсть
49,6 + 12,48 = 62, 08 ( м)-вельвета
62,08+12,48= 74,56 (м)-полотна

Answer 2

Problem Analysis

We are given that a store sells four types of fabric: calico, wool, velvet, and canvas. The store sold 124.8 meters of calico in one day. The amount of wool sold was 10 times less than the amount of calico sold. The amount of velvet sold was 49.6 meters more than the amount of wool sold. The amount of canvas sold was equal to the combined amount of wool and velvet sold. We need to determine the total amount of fabric sold in that day.

Solution

Let's denote the amount of calico sold as C, the amount of wool sold as W, the amount of velvet sold as V, and the amount of canvas sold as P.

From the given information, we have the following equations:

1. C = 124.8 (amount of calico sold) 2. W = C/10 (amount of wool sold is 10 times less than calico) 3. V = W + 49.6 (amount of velvet sold is 49.6 meters more than wool) 4. P = W + V (amount of canvas sold is equal to the combined amount of wool and velvet)

To find the total amount of fabric sold, we need to calculate C + W + V + P.

Let's substitute the values from equations 1, 2, 3, and 4 into the expression for the total amount of fabric sold:

Total amount of fabric sold = C + W + V + P = 124.8 + (C/10) + (W + 49.6) + (W + V)

Simplifying the expression:

Total amount of fabric sold = 124.8 + C/10 + W + 49.6 + W + V

Now, let's substitute the values of C, W, and V from equations 1, 2, and 3 into the expression:

Total amount of fabric sold = 124.8 + 124.8/10 + (C/10) + 49.6 + (C/10) + (W + 49.6)

Simplifying further:

Total amount of fabric sold = 124.8 + 12.48 + C/10 + 49.6 + C/10 + (C/10 + 49.6)

Combining like terms:

Total amount of fabric sold = 124.8 + 12.48 + 49.6 + C/10 + C/10 + C/10 + 49.6

Simplifying:

Total amount of fabric sold = 236.48 + (3C/10) + 49.6

Now, let's substitute the value of C from equation 1 into the expression:

Total amount of fabric sold = 236.48 + (3 * 124.8/10) + 49.6

Calculating the expression:

Total amount of fabric sold = 236.48 + 374.4/10 + 49.6

Total amount of fabric sold = 236.48 + 37.44 + 49.6

Total amount of fabric sold = 323.52 + 49.6

Total amount of fabric sold = 373.12

Therefore, the total amount of fabric sold in that day is 373.12 meters.

Answer

The total amount of fabric sold in that day is 373.12 meters.