Below is an instruction that describes a task. Write a response that appropriately completes the request in English. Please answer in English.

### Instruction:
A garden is filled with 105 flowers of various colors. There are twice as many red flowers as orange. There are five fewer yellow flowers than red. If there are 10 orange flowers, how many pink and purple flowers are there if they have the same amount and there are no other colors?

### Response:
There are 2 * 10 orange = <<2*10=20>>20 red flowers.
There are 20 - 5 = <<20-5=15>>15 yellow flowers.
The total amount of orange, red, and yellow flowers is 10 + 20 + 15 = <<10+20+15=45>>45 flowers.
There are 105 - 45 = <<105-45=60>>60 pink and purple flowers total.
There are 60/2 = <<60/2=30>>30 pink flowers.
There are 30 purple flowers.
#### 30