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anna has up to 20 eggs she counted in fours had 3 left over she counted in fives had 4 left over how many eggs she got

What you know already is that Anna can have a maximum of 20 eggs. Let x = number of groups of 4 eggs. Let y = number of groups of 5 eggs. Then you are trying to find x and y so that 4x+3 = 5y +4 By trial and error, you get for x=4 and y=3, total number of eggs=19. Therefore, Anna has 19 eggs.
11 February 2011
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