
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 clothing store has a special offer on sweaters. Promotion X says, "Buy one sweater at full price and get the second sweater at 40% off." Promotion Y says, "Buy one sweater and get $15 off the second sweater." Michael wants to buy two sweaters, each originally costing $50. He can only use one of the promotions. Michael decides to use the promotion that will save him the most money. How much does Michael save by choosing the better promotion over the other?

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