
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
Given that the two children from the youngest generation receive a $60\%$ discount, the two members of the middle generation pay full price, and the two members of the oldest generation receive a $20\%$ discount as senior citizens, and the senior ticket costs $\$7.50$, calculate the total amount Grandfather must pay for the concert and a $5 handling fee.

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