
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
To carry out the Sunshine Sports activities, a class needs to purchase a batch of badminton rackets and shuttlecocks. The situation from two stores, A and B, which sell the same brand of badminton rackets and shuttlecocks, is as follows: The fixed price for each pair of badminton rackets is 30 yuan, and each box of shuttlecocks is priced at 5 yuan. Both stores offer discounts: Store A offers a free box of shuttlecocks with each pair of rackets purchased; Store B offers a 10% discount on the total price. If the class needs to buy 5 pairs of badminton rackets and x boxes of shuttlecocks (x is not less than 5 boxes).  
(1) The amount to be paid at Store A is     yuan; The amount to be paid at Store B is     yuan. (Express and simplify using an algebraic expression with x, and directly fill in the answer)  
(2) How many boxes of shuttlecocks need to be purchased for the cost to be the same at both stores?

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