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A walkway lighting package includes a transformer, a certain length of wire, and a certain number of lights on the wire. The price of each

  • A walkway lighting package includes a transformer, a certain length of wire, and a certain number of lights on the wire. The price of each lighting package depends on the length of wire and the number of lights on the wire.  A package that contains a transformer, 25 feet of wire, and 5 lights costs $20.  A package that contains a transformer, 50 feet of wire, and 15 lights costs $35.  A package that contains a transformer, 100 feet of wire, and 20 lights costs $50. Write and solve a system of equations using Cramer’s Rule to find the cost of a transformer, the cost per foot of wire, and the cost of a light. Assume the cost of each item is the same in each lighting package.

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