
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
Suppose a vending machine allows you to buy 3 sodas for every 5 quarters or 5 sodas for every 15 bottle caps. You have $D$ dollars and $C$ bottle caps. How many sodas can you purchase if 1 dollar is worth 4 quarters?
**A)** $\frac{12D + 5C}{15}$
**B)** $\frac{36D + 5C}{15}$
**C)** $\frac{36D + 15C}{5}$
**D)** $\frac{15D + 5C}{36}$

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