How Many Flowers are in the Garden?

Yesterday’s Problem:

There are exactly 40 flowers, red and purple, in a garden. And, no matter which two flowers you pick, at least one will be purple. How many red flowers are there in the garden?

Answer:

If there are even two red flowers, then it will possible to pick a pair without one flower being purple. This means there is only one red flower. The rest are purple.

Today’s Problem:

There are purple, red and yellow flowers in a garden. Anytime you pick three flowers, at least one will be red and at least one will be purple. From this information, can you figure out how many flowers there are in the garden?

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