
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 shop offers two promotions for buying shoes. Promotion A states, "Buy one pair of shoes, get the second pair for half the price." Promotion B states, "Buy one pair of shoes, get $\$20$ off the second pair." Emily wishes to purchase two pairs of shoes, each priced at $\$50$. She must choose one of the promotions. Emily wants to opt for the promotion that saves her the most money. How many dollars does Emily save using the better promotion?

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