A theater charges$50per ticket for seats in section A,$40per ticket for seats in section B, and$20per ticket for seats in section C. For one play,9,500tickets were sold for a total of$335,000in revenue. If500more tickets in section B were sold than the other two sections combined, how many tickets in each section were sold?

A vendor at a carnival sells cotton candy and caramel apples for$2.00each. The vendor is charged$60to set up his booth. Furthermore, the vendor's average cost for each product he produces is approximately$0.80.

a.find linear cost function representing the costC(x) (in $) to producexproducts.

b.find linear revenue function representing the revenueR(x) (in $) for sellingxproducts.

c.Determine the number of products to be produced and sold for the vendor to break even.

If a system does not have one unique solution, state whether the system is inconsistent or whether the equations are dependent.

5x+y=-5

-15x-3y=9