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Age 11 to 14 Short Challenge Level:

Baldrick can afford to buy either 6 parsnips and 7 turnips, or 8 parsnips and 4 turnips.

Both options leave him with no change.

If he only bought turnips, how many could he afford?

If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.


This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.