Question

An auditorium earned 25,000 in sold-out concert ticket sales. Front section tickets cost 75$ per seat and back section tickets cost 50$ per seat. The number of front section seats is twice the number of back section seats. How many seats are in the front section?

Answer 1

first define your variables

Answer 2

let

f = # of front section seats

b = # of back section seats

Answer 3

if the "auditorium earned 25,000 in sold-out concert ticket sales", then we know that

75f + 50b = 25000

and if "The number of front section seats is twice the number of back section seats", then we can say

f = 2b

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75f + 50b = 25000 ... move back to equation 1

75(2b) + 50b = 25000 ... replace f with 2b (since f = 2b)

150b + 50b = 25000

200b = 25000

b = ???

Answer 4

But my teacher had given me the answer and said it was 250. and what you did equals to 125.. i think it was f=2b?

Answer 5

the answer you want is f, not b

you found that b = 125

but you have to plug that into f = 2b to find f

Answer 6

ooooh!

Answer 7

f=2(125) ?

Answer 8

yep, so that's why f = 250

Answer 9

:DD haha thank you!

Answer 10

you're welcome