Question

Завод изготовил за месяц 180 приборов трех видов. Приборов первого вида было в 5 раз меньше чем второго вида, а приборов третьего вида- столько сколько первого и второго видов вместе. Сколько приборов было изготовлено первого вида?

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 Значит 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: 90 приборов; 75 приборов; 15 приборов.

Answer 2

Problem Analysis

We are given that a factory produced 180 devices of three different types. 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 first and second types. We need to determine the number of devices of the first type that were produced.

Solution

Let's assume the number of devices of the first type is x.

According to the given information, the number of devices of the second type is 5 times greater than the number of devices of the first type. Therefore, the number of devices of the second type is 5x.

The number of devices of the third type is equal to the sum of the first and second types. Therefore, the number of devices of the third type is x + 5x = 6x.

We are also given that the total number of devices produced is 180. Therefore, we can write the equation:

x + 5x + 6x = 180

Simplifying the equation, we get:

12x = 180

Dividing both sides of the equation by 12, we find:

x = 180 / 12 = 15

Therefore, the number of devices of the first type that were produced is 15.

Answer

The factory produced 15 devices of the first type.

Explanation

Let's break down the given information and the solution:

- The factory produced a total of 180 devices. - The number of devices of the first type is 5 times less than the number of devices of the second type. - The number of devices of the third type is equal to the sum of the first and second types. - We assumed the number of devices of the first type is x. - The number of devices of the second type is 5x. - The number of devices of the third type is x + 5x = 6x. - The equation x + 5x + 6x = 180 is formed. - Solving the equation, we find x = 15. - Therefore, the number of devices of the first type that were produced is 15.

Conclusion

The factory produced 15 devices of the first type.