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. Responses A a − c = 1600a − c = 1600 B 4a + 2c = 50004a + 2c = 5000 C 4a − 2c = 50004a − 2c = 5000 D a + c = 1600

Question

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. Responses A a − c = 1600a − c = 1600 B 4a + 2c = 50004a + 2c = 5000 C 4a − 2c = 50004a − 2c = 5000 D a + c = 1600

Answer 1

The two equations that can be solved as a system of equations to determine how many children and how many adults attended the fair are:

C: 4a + 2c = 5000

D: a + c = 1600

These two equations represent the total amount of money collected ($5000) and the total number of people that entered the fair (1600).