In the store, they have one type of lollipops and one type of nougats. The price of both lollipops and nougats is given in whole groats.

Barborka bought three lollipops. Eliška bought four lollipops and several nougats - we only know that it was more than one and less than ten nougats. Honzík bought one lollipop and one nougat. Barborka paid 24 groats and Eliška 109 groats.

How many groats did Honzík pay?

(L. Hozová)
Barborka paid 24 groshen for three lollipops, so one lollipop cost 8 groshen $(24: 3=8)$.

Eliška paid 109 groshen for four lollipops and several nougats. Four lollipops cost 32 groshen $(4 \cdot 8=32)$, so her nougats cost 77 groshen $(109-32=77)$.

This price is the product of the number of nougats and the price of one nougat. The number of nougats was more than one and less than ten, so there were 7 (no other number in this range divides 77 without a remainder). One nougat cost 11 groshen $(77: 7=11)$.

Honzík paid 19 groshen for one lollipop and one nougat $(8+11=19)$.

Scoring. 1 point for the price of one lollipop; 2 points for the total price of Eliška's nougats; 2 points for the price of one nougat; 1 point for Honzík's expenditure.