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Arauza buys 100 magic wands for a total cost of $4000. She gets glass wands for...

Arauza buys 100 magic wands for a total cost of $4000. She gets glass wands for $120 each, marble wands for $50 each, and wooden wands for $25 each. Arauza buys at least one of each type of wand. How many of each type of wand did she buy?

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