Gina can paint 6 cups an hour with roses and 7 cups an hour with lilies.
She receives an order for 6 rose cups and 14 lily cups.
Let's calculate how many hours it would take her to paint these cups.
It would take her 6/6 = 1 hour to paint the 6 rose cups.
It would take her 14/7 = 2 hours to paint the 14 lily cups.
So, in total, it would take her 1 + 2 = 3 hours to paint all the cups.
She earned a total of $90 for painting these cups.
To find her hourly rate, we divide the total amount earned by the number of hours worked.
Her hourly rate is $90 / 3 hours = $30 per hour.
#### 30
The answer is: 30
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
If Gina can paint six cups an hour with roses and seven cups an hour with lilies, and she receives an order for six rose cups and 14 lily cups on her Etsy store, earning a total of $90, what is her hourly rate?

### Answer:
