
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A fruit platter contains blueberries, raspberries, grapes, and cherries. The total number of fruits in the platter is 360. There are three times as many raspberries as blueberries, four times as many grapes as cherries, and five times as many cherries as raspberries. How many grapes are there in the fruit platter?
A) $\frac{5400}{79}$
B) $\frac{21600}{79}$
C) $\frac{10800}{79}$
D) $\frac{16200}{79}$

Present the answer in LaTex format: \boxed{Your answer}
user