4. If Ana gave Ivan 18 kuna and Maja 43 kuna from her money, then Ivan would have twice as many kuna as Ana, and Maja would have three times as many kuna as Ana. How many kuna does each of the children have, if they all together have a total of 432 kuna?
First method:

We solve the problem backward, that is, we observe the amount of kuna after Ana gave kuna to Ivan and Maja. At that moment, Ivan has twice as much money as Ana, and Maja has three times as much as Ana.

If we denote the amount of Ana's money as $x$, then they have:

Ana .... $x \mathrm{kn}$

Ivan.. $2 x \mathrm{kn}$

Maja ... $3x \mathrm{kn}$ 1 POINT

Together, that is $6 x$ kuna. 1 POINT

From $6 x=432$,

1 POINT

we calculate

$x=432: 6=72$ kuna.

1 POINT

At that moment, Ana has 72 kuna, Ivan has 144 kuna, and Maja has 216 kuna.

3 POINTS

Since Ana gave 18 kuna to Ivan and 43 kuna to Maja, at the beginning she had

$72+18+43=133$ kuna.

1 POINT

Ivan had $144-18=126$ kuna.

1 POINT

Maja had $216-43=173$ kuna.

1 POINT

TOTAL 10 POINTS