There are between 50and60 number of eggs in basket when Liza count by 3's, there are 2 eggs left over when she counts by 5's, there are 4 left over.How many eggs are there in the basket?

3n = 48, 51, 54, 57, 60

5n = 50, 55, 60
so check the intersection of the lists of 3n+2, 5n+4