
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
There are two alloys. The first alloy contains \( p \% \) impurities, and the second alloy contains \( q \% \) impurities. Determine the proportion in which to combine these alloys to obtain a new alloy that contains \( r \% \) impurities. Provide the ratio of the mass of the first alloy to the mass of the second alloy as a decimal fraction, rounding if necessary to two decimal places.

Given: 
\( p = 70 \),  
\( q = 5 \),  
\( r = 40 \).

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