## Task 1 - V00801

Two brigades of a coil factory together produce 8200 transformer windings. During quality control, 2% of the windings produced by the first collective and 3% of those produced by the second collective must be discarded due to poor insulation.

In total, 216 windings are unusable. How many flawless windings are produced by each collective?
Let $x$ be the production of the first brigade, $y$ the production of the second brigade. Then the system of equations is

$$
x+y=8200 \quad ; \quad 0.02 \cdot x+0.03 \cdot y=216
$$

The system has the solution $x=3000, y=5200$. After deducting the defective spools $(0.02 \cdot x=60$, $0.03 \cdot y=156)$, it follows that the first brigade produced 2940 and the second brigade produced 5044 flawless spools.