
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
Teacher Kadrnožková bought tickets at the zoo ticket office for her students and herself. An adult ticket was more expensive than a student ticket but not more than twice the price. Teacher Kadrnožková paid a total of 994 CZK. Teacher Hnízdo had three more students than his colleague, and therefore, he paid 1120 CZK for his students and himself.

1. How many students did teacher Hnízdo have with him?
2. How much did an adult ticket cost?

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