Question

Фирма купила оргтехнику для офиса, причем 23% всех аппаратов сканеры, 37%- принтеры. Известно, принтеров на 28 штук больше, чем сканеров. Сколько различных аппаратов купили для офиса?

Answer 1

1) 37% - 23% = 14% - разница (= 28 шт.) 
2) 28 : 14 * 100 = 200 шт. - всего аппаратов - ответ.

200 : 100 * 23 = 46 шт. - сканеры
200 : 100 * 37 = 74 шт. - принтеры.
200 - (46 + 74) = 80 аппаратов, видимо, другие.

Answer 2

Problem Analysis

To solve this problem, we need to determine the number of different office equipment devices purchased by a company. We are given that 23% of all devices are scanners, 37% are printers, and there are 28 more printers than scanners.

Solution

Let's assume the total number of devices purchased is x.

According to the given information: - 23% of all devices are scanners, which means 0.23x scanners were purchased. - 37% of all devices are printers, which means 0.37x printers were purchased. - The number of printers is 28 more than the number of scanners.

Based on this information, we can set up the following equation:

0.37x = 0.23x + 28

Now, let's solve this equation to find the value of x.

Solving the Equation

To solve the equation, we'll isolate the variable x.

0.37x - 0.23x = 28

0.14x = 28

Dividing both sides of the equation by 0.14:

x = 28 / 0.14

x = 200

Therefore, the total number of different office equipment devices purchased for the office is 200.

Answer

The company purchased a total of 200 different office equipment devices for the office.

Verification

Let's verify our answer using the given information.

- 23% of 200 is 46, which represents the number of scanners. - 37% of 200 is 74, which represents the number of printers. - The number of printers is 28 more than the number of scanners, which is true since 74 - 46 = 28.

Our answer is consistent with the given information, so we can be confident in our solution.