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There are 14-x quarters worth 25(14-x) cents, the dimes are worth 10x cents.


350-25x+10x>220, 130>15x, so x<130/15, x<26/3, x≤8, and or -8≤-x and 14-8≤14-x, 6≤14-x.

Therefore he needs 6 or more quarters (and 8 or fewer dimes).

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