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The math problem is grade one.
The reimbursement ratio is the part that you are allowed to reimburse after you spend the medical expenses multiplied by a percentage, so this is the money returned to you by the government after you spend the money.

This problem is obvious. If the actual medical expenses of farmers are lower than those of 500 yuan and they are not reimbursed, the out-of-pocket expenses will not reach 2,600.

If the actual medical expenses exceed 10000, then according to the policy, the out-of-pocket part is at least (10000-500) * (1-70%) = 2850 yuan, which is inconsistent with the problem.

Then the actual medical expenses must be between 500 and 10000.

If x is set, then (x-500)*( 1-70%)+500=2600.

x=7500

So it's actually 7500 yuan

You can keep asking me which part I don't understand!