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Flora the Florist

Age 14 to 16 Short
Challenge Level

Answer: 6

Using the highest common factor
The number of bunches must divide the number of white roses, the number of yellow roses and the number of red roses.

The highest common factor of $24$, $36$ and $42$ is $6$, so the most bunches Flora can make is $6$, each consisting of $4$ white, $6$ yellow and $7$ red roses.

Using ratio
Use all the roses to make identical bunches - so all bunches will have the same ratio of colours as the total
Cannot simplify further so each bunch has $4$ white roses
So Flora can make $6$ from $24$ white roses

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