
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
Jiahui Discount Store celebrates International Women's Day by offering discounts to customers with the following rules: (1) No discount for purchases up to 100 yuan; (2) For purchases over 100 yuan but not exceeding 300 yuan, a 10% discount is applied; (3) For purchases exceeding 300 yuan, the portion up to 300 yuan (inclusive) is discounted by 10%, and the portion exceeding 300 yuan is discounted by 20%. English teacher Ms. Li went shopping and enjoyed a 10% discount. Ms. Zhang, who went shopping with Ms. Li, enjoyed a partial 20% discount. If both teachers had made their purchases together at the counter, they would have saved an additional 19 yuan; without any discounts, the two teachers would have spent 67 yuan more on their purchases. How much did each teacher spend on their shopping?

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