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The admission fee at a county fair is $2 for children and $4 for adults. Suppose that on the last day, 1600 people enter the fair and $5000 is collected. Choose the two equations that can be solved as a system of equations to determine how many children and how many adults attended the fair.
a − c = 1600********
4a + 2c = 5000
4a − 2c = 5000******
a + c = 1600