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MathNet 2022-part-03 — 197 problems (EN–VI) Question 195

Math Olympiad Vault · MathNet 2022-part-03 — 197 problems (EN–VI)

Question 195

The candy store sells chocolates in the flavours white, milk, and dark. You can buy them in three types of coloured boxes. The three boxes have the following contents:

* Gold: 2 white, 3 milk, 1 dark,
* Silver: 1 white, 2 milk, 4 dark,
* Bronze: 5 white, 1 milk, 2 dark.

Lavinia buys some boxes of chocolates (at least one) and when she gets home, it turns out she has exactly the same number of chocolates of each flavour.

At least how many boxes did Lavinia buy?