This month, chun’s office produced 690 pounds of garbage. chun wants to reduce the weight of garbage produced to 85% of the weight produced this month. what is the target weight for the garbage produced next month?

Chun wants to reduce the weight of garbage produced to 85% of the weight produced this month. 
This means that, Chun's garbage weight next month should be equal to 85% of his garbage weight this month.

Translating this into an equation, we will find that:
garbage weight next month = 85% of garbage weight this month
garbage weight next month = 0.85 * garbage weight this month
garbage weight next month = 0.85*690 
garbage weight next month = 586.5 pounds

Based on the above calculations, his target weight for the garbage next month is 586.5 pounds

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