Ski problem

You are on a ski trip and you want to maximize the number of runs you can ski in a day. The ski resort has a variety of runs with different levels of difficulty. The resort uses a color-coding system to indicate the level of difficulty of the runs, with green indicating the easiest, blue indicating intermediate, and black indicating the most difficult.

You have the following information:

• The ski resort has a total of 15 runs
• There are twice as many green runs as blue runs
• There are half as many black runs as blue runs
• You want to ski the maximum number of runs possible

Using this information, can you determine the maximum number of runs of each color you can ski?

Note: You can only ski one run at a time.

Congratulations to everyone who answered correctly!