A theatre has a seating capacity of 900 and charges $4 forchildren, $6 for stude

Question

A theatre has a seating capacity of 900 and charges $4 forchildren, $6 for students, and $8 for adults. At a certainscreening with full attendance, there were half as many adults aschildren and students combined. The receipts totaled$5600.    
Develop a system ofequations which will find the number sold of each type ofticket.
A theatre has a seating capacity of 900 and charges $4 forchildren, $6 for students, and $8 for adults. At a certainscreening with full attendance, there were half as many adults aschildren and students combined. The receipts totaled$5600.    
Develop a system ofequations which will find the number sold of each type ofticket.

Explanation / Answer

I have had algebra before but only solved for 2 differenttypes of tickets. Maybe you can figure it out from here I tried butit does not work out right for me. Sorry 900 seats 4.00 kids 6.00 student 8.00 adults x+y+z=900 4.00x+6.00y+8.00z=5600.00 4.00x+6.00+8.00(900-x)=5600.00 4.00x+6.00-7200x=5600.00 -4.00x= 5000.00 -4.00     -4.00 x=-1250 -4.00     -4.00 x=-1250

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