Question

Ticket sales for a music concert totaled $2,160. Three times as many tickets were sold for the Saturday night concert as were sold for the Sunday afternoon concert. Two times as many tickets were sold for the Friday night concert were sold for the Saturday afternoon concert. Tickets for all three concerts sold for $2.00 each. Find the number of tickets sold for the Saturday night concert.

*ATTN: Please explain all the steps, thanks*

Answer 1

Do you know how to start this off?

Answer 2

Well I know how to start off similar problems. It's just I don't get how to set up an equation from this information... "Three times as many tickets were sold for the Saturday night concert as were sold for the Sunday afternoon concert. Two times as many tickets were sold for the Friday night concert were sold for the Saturday afternoon concert."

Answer 3

Ok we have two days here
Let number of tickets sold Saturday be x and Sunday be y

Answer 4

They say: 2$ per ticket for both night.

Answer 5

3 times as many tickets were sold for the Saturday night concert as were solve for the Sunday afternoon. That mean that y=3x

Answer 6

first you need to get the total number of tickets sold which is 2160/2=1080 tickets

Answer 7

Therefore we can build up an equation

( Tickets sold Saturday + Tickets sold Sunday ) * $2 = $2,160

Answer 8

Tickets sold Saturday = x
Tickets sold Sunday = 3x

(x+3x) * $2 = $2,160
4x * $2 = $2,160

Answer 9

Can you take it from there?

Answer 10

Here's what my book says...

$2 * x + $2 * 3x +2 * 2x = $2160
2x + 6x + 4x = $2160
12x = 2160
Divide by 12
x = 180

Can you please explain that to me ...

Answer 11

Darn, I forgot there's Friday's concert, too :x

Answer 12

:c

Answer 13

But we can correct our mistake!

Answer 14

Two times as many tickets were sold for the Friday night concert were sold for the Saturday afternoon concert.

There, they say and Friday night = Saturday's concert * 2

Answer 15

Therefore,

Tickets sold Friday = 2x
Tickets sold Saturday = x
Tickets sold Sunday = 3x

Let's take the equation we build up earlier;

( Tickets sold Friday + Tickets sold Saturday + Tickets sold Sunday ) * $2 = $2,160
(2x + x + 3x) * $2 = $2,160

:)

Answer 16

Ah, I see, thanks !

Answer 17

Oh and the 'times 2' represents the 2 dollar fee per person, right?

Answer 18

Per ticket, yes.

Answer 19

Thanks xD

Answer 20

yw :)