King Dominion sells adult and child tickets. On Saturday, they sold 250 adult tickets and 400 child tickets, for a total of 22000 dollars in ticket sales. On Sunday, they sold 300 adult tickets and 800 child tickets, for a total of 36000 dollars in sales. How much do adult and child tickets each cost?

Guest Mar 7, 2021

#1**+1 **

a = adult tix cost

c = child tix cost

250a + 400c = 22000 and

300a + 800c = 36000 two equations and two unknowns to solve multiply first equation by - 2 to get:

-500a -800c = - 44000 add the two equations

-200a = -8000 solve for a

**a = $ 40 ** use this value in one of the equations to calculate c

300(40) + 800c = 36000

800c = 24000

**c = $ 30 **

ElectricPavlov Mar 7, 2021