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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?

 Mar 7, 2021
 #1
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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

 Mar 7, 2021

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