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Write and solve a system of equations to determine how many tickets were sold before and at the music festival. PLEASE HELPPP

Write and solve a system of equations to determine how many tickets were sold before-example-1
User Popo
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1 Answer

12 votes
12 votes

b = number of tickets sold before

a = number of tickets sold after

cost of a ticket = number of tickets times cost per ticket

before cost = 39.95b

after cost = 54.95a

total cost = 925000

39.95b + 54.95a = 925000

total number tickets = 20000

b + a = 20000

we have

39.95b + 54.95a = 925000

b + a = 20000

multiply second equation by -39.95 and add to first equation

39.95b + 54.95a = 925000

-39.95b-39.95a = -799000 +

0b+15a = 126000

15a = 126000

divide bot sides by 15

a = 8400

sub back

b + a = 20000

b+8400 = 20000

minus 8400 both sides

b = 11600

11,600 tickets sold before

8400 tickets sold after

User Wilhelm Kleu
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3.1k points