1. A pencil factory has bought certain quantities of aluminum, wood, rubber and graphite in order to make their products. The quantities of each material (in kg) that they purchased satisfy the following: • They bought 3 times more graphite than wood. • They bought exactly 100 kg of aluminum. • They spent a total of 20,000$, and the cost of each material is given in the table below. Material Wood Aluminum Rubber Graphite Cost ($/kg) 10 20 30

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