
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 $T$ cans of type A soda can be purchased for $P$ quarters from a vending machine. If type B soda costs twice as many quarters per can as type A soda, which of the following expressions describes the number of cans of type B soda that can be purchased for $R$ dollars, where $1$ dollar is worth $4$ quarters?
**A)** $\frac{RT}{2P}$
**B)** $\frac{2RP}{T}$
**C)** $\frac{2RT}{P}$
**D)** $\frac{P}{2RT}$
**E)** $\frac{RT}{P}$

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