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[ASSESS]

[ADVANCE]

[VERIFY]

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[SYNTHESIZE]

[PIVOT]

[OUTPUT]

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system
To commemorate the patriotic poet Qu Yuan, people have the tradition of eating zongzi on the Dragon Boat Festival. A customer bought 10 red bean zongzi and 12 meat zongzi in a supermarket before the Dragon Boat Festival, paying a total of 136 yuan. It is known that the price of meat zongzi is twice the price of red bean zongzi.

1. Find the unit prices of red bean zongzi and meat zongzi.
2. In order to increase zongzi sales, the supermarket offers a discount for purchases of 20 zongzi or more. The table below shows the quantities and payment amounts of two customers, Xiaohuan's mother and Xiaole's mother:
   - Xiaohuan's mother: 20 red bean zongzi, 30 meat zongzi, 270 yuan
   - Xiaole's mother: 30 red bean zongzi, 20 meat zongzi, 230 yuan
   - Based on the table, find the discounted unit prices of red bean zongzi and meat zongzi.
   - To further increase zongzi sales, the supermarket packages the two types of zongzi into two types of packages, A and B, each containing 40 zongzi (packaging costs are ignored). The selling price of each package is the sum of the discounted unit prices of each zongzi. The quantities in package A and package B are denoted as m red bean zongzi and m meat zongzi, respectively. The quantity of red bean zongzi in package A does not exceed half of the quantity of meat zongzi. On the Dragon Boat Festival day, it was found that the sales volumes of package A and package B were (80-4m) packages and (4m+8) packages, respectively, and the total sales amount of package A and package B was 17280 yuan. Find the value of m.

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