Question

Бригада выполнила недельный заказ по изготовлению деталей за 4 дня. В первый день выполнено 9/40 всего заказа, во второй 26 целых и 2/3% всего заказа. Третий и четвёртый день относились как 3,6: 2,5. Сколько всего было изготовлено деталей если во второй день на 49 деталей изготовлено чем в четвёртый день

Answer 1

Х - весь заказ
9/40 - изготовили в в первый день
(26 2/3)/100 *х  - изготовили во второй день  26 2/3 = 80/3 % = (80/3) /100 = 8/30 х
Осталось изготовить в третий и четвертый день  х - 9/40 - 8/30 = х - 27/120 - 32 /120 = 61/120 х  Зная , что третий и четверый день относились как 3,6 : 2,5  (всего 6,1  части) , получаем :
36/120х = 3/10 х - изготовили в третий день
25/120 х = 5/24х - изготовили в четвертый день, из условия задачи знаем , что во второй день изготовили на 49 деталей больше чем во второй . То есть
8/30 х - 5/24 х = 32/120 - 25/120 = 7/120 *х  = 49  . Отсюда х = 49/7 *120 = 840 деталей
Ответ: Всего было изготовлено 840 деталей
 

Answer 2

Calculation of Total Number of Parts Manufactured

To calculate the total number of parts manufactured, we need to add up the number of parts produced on each day.

1. On the first day, 9/40 of the total order was completed. 2. On the second day, 26 whole parts and 2/3% of the total order were completed. 3. The third and fourth days were in a ratio of 3.6:2.5.

Let's calculate the total number of parts manufactured step by step.

1. First day: 9/40 of the total order was completed. - Let's assume the total order is represented by x. - Therefore, on the first day, 9/40 * x parts were completed.

2. Second day: 26 whole parts and 2/3% of the total order were completed. - The 2/3% of the total order can be calculated as (2/3/100) * x. - Therefore, on the second day, 26 + (2/3/100) * x parts were completed.

3. Third and fourth days: In a ratio of 3.6:2.5. - Let's assume the number of parts completed on the third day is represented by y. - The number of parts completed on the fourth day can be calculated as (2.5/3.6) * y.

4. Given that on the second day, 49 parts were manufactured more than on the fourth day, we can set up the following equation: - 26 + (2/3/100) * x = (2.5/3.6) * y + 49

Now, let's solve the equation to find the values of x and y.