John bought some strawberries and wanted to put them into boxes. If she put 4 strawberries into each box, there would be 3 strawberries left. If she put 6 strawberries into each box, she would have 5 stawberries left.
a) If the number of strawberries was between 100 and 150, how many strawberries did John buy?
b) John decided to put all the stawberries equally into bags of 6. Find the minimum number of bags that she would need.