
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 balance scale uses weights that are whole numbers of kilograms. We can measure 3 green apples, 5 yellow apples, or 7 red apples, and their masses are whole numbers of kilograms. However, if we measure the total mass of 1 green apple, 1 yellow apple, and 1 red apple, it will not be a whole number of kilograms. When rounded to the nearest whole number, the mass is approximately 1.16 kilograms. 

Determine the mass of:
- 3 green apples (in kilograms)
- 5 yellow apples (in kilograms)
- 7 red apples (in kilograms)

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