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MariettaO [177]
3 years ago
8

You and your friend are selling tickets to a charity event. You sell 8 adult tickets and 6 student tickets for $126. Your friend

sells 12 adult tickets and 13 student tickets for $209. What is the cost of a student ticket?
Mathematics
1 answer:
AnnyKZ [126]3 years ago
8 0
S=cost per student ticket
a=cost per adult ticket

value=(students vlue)+(adults value)
student value=(cost per student) times number of students
adult value=(cost per adult) times number of adults



you sell 8 adult and 6 students and that is a value of 126
8a+6s=126

friend sell12 adult and 13 student and get 209
12a+13s=209

so we have
8a+6s=126 and
12a+13s=209
it might help to simplify  the first equaiton by dividing by 2
4a+3s=63

we have
4a+3s=63
12a+13s=209
multiply first equaton by -3
-12a-9s=-189

add to secont equaiton

12a+13s=209
<u>-12a-9s=-189 +
</u>0a+4s=20<u> </u>

4s=20
divide 4
s=5

each student ticket costs $5.00
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