
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
Set up equations (or a system of equations) to solve application problems:  
(1) A clothing store selects Type A and Type B clothing from a manufacturer. If 9 pieces of Type A clothing and 10 pieces of Type B clothing are purchased, it costs 1810 yuan; if 11 pieces of Type A clothing and 8 pieces of Type B clothing are purchased, it costs 1790 yuan. Find the difference in price per piece between Type A and Type B clothing.  
(2) A factory currently has 1200 tons of a certain raw material in stock, which is used to produce Products A and B. Producing 1 ton of Product A requires 2 tons of this raw material and 1000 yuan in production costs; producing 1 ton of Product B requires 2.5 tons of this raw material and 900 yuan in production costs. If the funds available for producing these two products are 530,000 yuan, how many tons of Products A and B should be produced to exactly use up the stock of raw materials and funds?

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