Wealthy Mole calculated that with his grain reserves, he can completely fill either 20 large bags of grain or 32 small bags. For a month of wintering, he needs 7 large bags of grain. Mole can trade with other moles, exchanging 2 large bags for 3 small ones. Can Mole survive three months of winter, or does he need additional supplies?

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When transferring one large bag, Mole can fill $32: 20=1.6$ small bags. At the same time, when exchanging one large bag, he will receive $3: 2=1.5$ small bags. This means that by exchanging, he cannot increase the amount of grain he has. Currently, these reserves are insufficient: Mole needs 21 large bags for three months, but he only has 20.

## Answer

he will not be able to.