Money bags

Ram divided 15 pennies among four small bags. He could then pay any sum of money from 1p to 15p without opening any bag. How many pennies did Ram put in each bag?

Problem

Ram divided 15 pennies among four small bags.

Image
Four bags of different colours.

He labelled each bag with the number of pennies inside it.

He could then pay any sum of money from 1p to 15p without opening any bag.

How many pennies did Ram put in each bag?

This problem is based on Money Bags from Mathematical Challenges for Able Pupils in Key Stages 1 and 2, published by DfES.