railfan39 railfan39

04-05-2015
Mathematics

Answered

The drama department of Lexington Community College puts on weekend performances of The Wizard of Oz for the community. Two hundred twenty-three tickets were sold, for total sales of $1,388. If adult tickets cost $8 and child tickets cost $5, how many of each kind of ticket were sold? Please show work.

Verified Answer :

cclemeno cclemeno

04-05-2015

Let x = adult tickets
223-x = child's ticket
multiply each term by the cost of the ticket

8x+ 5(233-x)= 1388
remove ( )
8x+1115+ 5x=1388
combine like terms
13x= 273
x= 21 tickets (Adults)
223- 21= 202 tickets (Child)

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