Question

Завод изготовил за месяц 180 приборов 3 видов. Приборов первого вида было в 5 раз меньше, чем второго, а приборов 3-го - столько, сколько 1-го и 2-го видов вместе. Сколько приборов каждого вида было изготовлено? Помогите пожалуйста.

Answer 1

всего-180 приборов

1 вид-в 5 раз меньше чем 2-х
2 вид- в 5 раз больше чем 1- 5х

3 вид-1+2  - х+5х

Решение

1)2*( 5х+х)=180

10х+2х=180

12х=180

х=15 приборов- первого вида!

2) 15*5=75 приборов- второго вида

3) 15+75=90 приборов- третьего вида

Проверка:

2*(15+75)= 30+150=180 приборов.

ОТвет:  9о приборов; 75 приборов; 15 приборов.

Answer 2

Всего приборов 180

1 вид в 5 раз больше , чем второй

2 вид в 5 раз меньше, чем первый

3 вид = 1 вид +2 вид

х=2 вид

5*х=1вид

х+5*х=3вид

Составляем уравнение:

х+5*х+х+5*х= 180

12х=180

х=180/12

х=15 (2 вида)

5*15=75 (1 вида)

15+5*15=90 (3 вида) 

 

Answer 3

Problem Analysis

We are given that a factory produced 180 devices of 3 different types in one month. The number of devices of the first type is 5 times less than the number of devices of the second type, and the number of devices of the third type is equal to the sum of the devices of the first and second types. We need to determine the number of devices of each type that were produced.

Solution

Let's assume the number of devices of the second type is x. Then, the number of devices of the first type is x/5, and the number of devices of the third type is (x + x/5).

According to the problem, the sum of the devices of all three types is 180. Therefore, we can write the equation:

(x) + (x/5) + (x + x/5) = 180

Simplifying the equation:

(6x/5) + (6x/5) = 180

Multiplying both sides of the equation by 5 to eliminate the fraction:

6x + 6x = 900

Combining like terms:

12x = 900

Dividing both sides of the equation by 12:

x = 75

So, the number of devices of the second type is 75. The number of devices of the first type is x/5 = 75/5 = 15, and the number of devices of the third type is (x + x/5) = (75 + 75/5) = 90.

Therefore, the factory produced 15 devices of the first type, 75 devices of the second type, and 90 devices of the third type.

Answer

The factory produced 15 devices of the first type, 75 devices of the second type, and 90 devices of the third type.