Question

Мастерская получила заказ сшить 296 костюмов.Первые 6 дней мастерская шила по 26 костюмов в день.В оставшиеся дни она шила по 28 костюмов в день.Сколько дней мастерская выполняла полученный заказ?Решить уровнением.

Answer 1

Х- количество оставшихся дней для выполнения заказа, тогда
26*6+28*х=296
156+28*х=296
28*х=296-156
28х=140
х=140:28
х=5(дней)- осталолось для выполнения заказа
6+5=11(дней)- всего мастерская выполняла заказ

Answer 2

Problem Analysis

To solve this problem, we need to determine the number of days it took for the workshop to complete the order of sewing 296 costumes. The workshop sewed 26 costumes per day for the first 6 days and 28 costumes per day for the remaining days. We can solve this problem by setting up an equation.

Solution

Let's assume that the number of days the workshop took to complete the order is x.

For the first 6 days, the workshop sewed 26 costumes per day, so the total number of costumes sewn in the first 6 days is 6 * 26 = 156.

For the remaining days, the workshop sewed 28 costumes per day, so the total number of costumes sewn in the remaining days is (x - 6) * 28.

The total number of costumes sewn is the sum of the costumes sewn in the first 6 days and the costumes sewn in the remaining days, which is 156 + (x - 6) * 28.

We can set up the equation as follows:

156 + (x - 6) * 28 = 296

Let's solve this equation to find the value of x.

156 + 28x - 168 = 296

28x - 12 = 296 - 156

28x - 12 = 140

28x = 140 + 12

28x = 152

x = 152 / 28

x ≈ 5.43

Since we cannot have a fraction of a day, we round up the value of x to the nearest whole number.

Therefore, the workshop took approximately 6 days to complete the order of sewing 296 costumes.

Answer

The workshop took approximately 6 days to complete the order of sewing 296 costumes.