SOLUTION: 1)x+2y=12 3x-2y=8 2)3x+y=2 y=3x+4 3)sammy sold 700 tickets tatoling $13330. if the tickets were $25 adults and $15 students, how many of each ticket did sammy sell? adu

Question 245880: 1)x+2y=12
3x-2y=8
2)3x+y=2
y=3x+4
3)sammy sold 700 tickets tatoling $13330. if the tickets were $25 adults and $15 students, how many of each ticket did sammy sell? adult___, student____.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
1)x+2y=12
-(3x-2y=8) subtract
-----------------------
-2x=4
x=4/-2
x=-2 ans.
-2+2y=12
2y=12+2
2y=14
y=14/2
y=7 ans.
--------------------------
2)3x+y=2
y=-3x+2
y=3x+4 add
-------------------
2y=6
y=3 ans.
3x+3=2
3x=2-3
3x=-1
x=-1/3 ans.
-------------------------------
3)sammy sold 700 tickets tatoling $13330. if the tickets were $25 adults and $15 students, how many of each ticket did sammy sell? adult___, student____.
A+S=700 OR A=700-S
25A+15S=13,330
25(700-S)+15S=13,330
17,500-25S+15S=13,330
-10S=13,330-17,500
-10S=-4,170
S=-4,170/10
S=417 STUDENT TICKETS SOLD.
700-417=283 ADULT TICKETS SOLD.
PROOF:
25*283+15*417=13,330
7,075+6,255=13,330
13,330=13,330
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