6. In a household appliance store, vacuum cleaners and mixers are sold. A mixer is 30 kn cheaper than a vacuum cleaner. On sale, the mixer is reduced by $5 \%$, and the vacuum cleaner by $10 \%$. A customer bought both a mixer and a vacuum cleaner at the reduced prices and paid a total of $360 \mathrm{kn}$. What were the prices of the mixer and the vacuum cleaner before the discount?
First method:

Let the price of the blender be $x$ kunas. Then the price of the vacuum cleaner is $x+30$ kunas. $\quad 1$ POINT

The blender is reduced by $5 \%$, so the price after the reduction is $0.95 x$ kn, and the vacuum cleaner is reduced by $10 \%$, so the price of the vacuum cleaner after the reduction is $0.9 \cdot(x+30) \mathrm{kn}$. 2 POINTS

We have $0.95 x+0.9 \cdot(x+30)=360$ 2 POINTS

$0.95 x+0.9 x+27=360 \quad 1$ POINT

$1.85 x=333 /: 1.85 \quad 1$ POINT

$x=180 \quad 1$ POINT

The price of the blender was 180 kunas, and the vacuum cleaner was 210 kunas. 2 POINTS

TOTAL 10 POINTS