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Let's Investigate Triangles

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Money Bags

Age 5 to 11 Challenge Level:

Ram divided $15$ pennies among four small bags.

bags

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

He could then pay any sum of money from $1$p to $15$p 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 Key Stages 1 and 2', published by DfES. You can download a copy here.