I am trying to work out the answer to a puzzle. I must so exactly £10 on exactly 14 sweets. I must buy at least 1 of every sweet.

The sweets cost a£1.50 b£1 c£0.10 and d £0.05.

I need to find three answers but can only find 2.

I've found 5a+2b+3c+4d and 3a+5b+4c+2d.

I've found lots of £10 with 13 or 15 sweets and some £10.05 etc with 14. What am I missing in trying to figure this out please?

Is there a way I should be using to find the latest one?

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