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Trash can unit prices and minimum type A quantity

Middle school · ●●○○○ 20 pts

A community buys two models of trash cans, A and B. Buying 3 type-A and 4 type-B cans costs a total of $580, and buying 6 type-A and 5 type-B cans costs a total of $860. (1) Find the unit price of a type-A can and of a type-B can. (2) A total of 200 cans of types A and B are needed, and the total cost must not exceed $15000. What is the least number of type-A cans that should be purchased?

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