## Task 4 - 210814

A brigade of excellent quality had been tasked with completing a certain number of measuring instruments in the shortest possible time. The brigade consisted of an experienced worker as the brigadier and nine young workers who had just completed their training.

Over the course of a day, each of the nine young workers completed 15 instruments, while the brigadier completed 9 more instruments than the average of the ten brigade members.

How many measuring instruments were completed in total by the brigade on this workday?
If all the devices completed by the nine young workers and 9 of the devices completed by the foreman are evenly distributed among the nine young workers, then each of the ten brigade members ends up with the mentioned average, meaning each member ends up with the same number of devices. Since each of the nine young workers ends up with exactly 16 devices, it follows that \(10 \cdot 16 = 160\). Therefore, a total of 160 devices were completed on that day.

Solutions of the I. Round 1981 adopted from [5]

### 5.23.2 II. Round 1981, Class 8