A music festival charges $54.95 per ticket sold on the day of the event. A ticket purchases before the festival costs only $39.95. They were 20,000 tickets sold for a total of 925,000. How many tickets did they sell at the music festival? How many tickets do they sell before the music festival?

Question

Mathematics

Rebekah Eaton

15 March, 13:34

A music festival charges $54.95 per ticket sold on the day of the event. A ticket purchases before the festival costs only $39.95. They were 20,000 tickets sold for a total of 925,000. How many tickets did they sell at the music festival? How many tickets do they sell before the music festival?

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Answers (1)

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Alissa Compton · Answer 1

B=number of ticets sold before

a=number of tickets sold after

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

beforecost=39.95b

aftercost=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 equatin

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