[ Word Problems]

Chestnuts. After collecting 70 chestnuts, three girls divided them among themselves. Every time Alya took 4 chestnuts, Varya took 3, and for every 6 chestnuts Alya received, Galya received 7. How many chestnuts did each girl get?
Think about how many chestnuts Vanya and Galia will get if Alya takes 12 chestnuts.

## Solution

From the condition of the problem, it follows that when Alya took 12 chestnuts, Vanya took 9, and Galia got 14. So, Alya received 12 parts, Vanya - 9, and Galia - 14. Therefore, all 70 nuts make up $12+9+14=35$ parts, and one part, accordingly, is $70: 35=2$ nuts. Hence, Alya received $12 \times 2=24$ nuts; Vanya - $9 \times 2=18$ nuts; Galia - $14 \times 2=28$ nuts. Just in case, let's check: $24+18+28=70$.