
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
Two wholesalers, A and B, sell the same brand of teapots and teacups at the same price, with the teapot priced at 30 yuan each and the teacup at 5 yuan each. Both stores are offering a promotional sale: Store A has a 'buy one get one free' promotion (buy a teapot and get a teacup for free), while Store B has a 10% discount on the entire store. A tea set store needs to buy 5 teapots and a number of teacups (not less than 5).
(1) Assuming that the tea set store buys $x$ teacups $(x>5)$, the cost at Store A and Store B would be _______ yuan and _______ yuan respectively; (express with an algebraic expression involving $x$)
(2) When the tea set store needs to buy 10 teacups, which store offers a better price? Please explain.
(3) How many teacups does the tea set store have to buy for the cost to be the same at both stores?

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