# Math Help - Money / Investment stuff.

1. ## Money / Investment stuff.

We have to do this thing in class to get the answer to how many tickets have been solved...

My teacher did most of it, but left us with this:

Let the number of $6 tickets be x. Then the number of$10 tickets was 3x and the number of $15 tickets was 3x + 500.$6 tickets = 6 + x
$10 tickets = 10 x 3x =$30
$15 tickets = 15x(3x + 500) = 7545. 6x + 30x + 45x + 7500 = 84450 We have to find how many of each ticket was sold. ($6, $10,$15)

Do you know how to work this out?

2. Originally Posted by suckatmaths

Let the number of $6 tickets be x. Then the number of$10 tickets was 3x and the number of $15 tickets was 3x + 500.$6 tickets = 6 + x
$10 tickets = 10 x 3x =$30
$15 tickets = 15x(3x + 500) = 7545. 6x + 30x + 45x + 7500 = 84450 We have to find how many of each ticket was sold. ($6, $10,$15)
The part in red is a little off. It's fixed in the line below though so maybe it was just a typo. The idea here is that when you multiply the number of tickets by the ticket price you get the total money earned by that ticket type. Add up all the ticket types and you get a grand total. In the problem you wrote there was no total, but you later wrote 84450, so I'm assuming that was given to you.

It should be:
$6 tickets = 6x$10 tickets = 3x
$15 tickets = 3x+500 Now multiply these three expressions by their respective prices and equate that to the total. This is how you get to the last line you wrote. From there, add up all the terms containing an x, move all non-x terms to the right hand side and solve for x. 3. Originally Posted by Jameson The part in red is a little off. It's fixed in the line below though so maybe it was just a typo. The idea here is that when you multiply the number of tickets by the ticket price you get the total money earned by that ticket type. Add up all the ticket types and you get a grand total. In the problem you wrote there was no total, but you later wrote 84450, so I'm assuming that was given to you. It should be:$6 tickets = 6x
$10 tickets = 3x$15 tickets = 3x+500

Now multiply these three expressions by their respective prices and equate that to the total. This is how you get to the last line you wrote. From there, add up all the terms containing an x, move all non-x terms to the right hand side and solve for x.
Okay, so I do this?

6x6 = 36.
10x3 = 30
15x503 =7545

(36 + 30 + 7545 = 7611

7611 + 84450 = 92161)

So now do I add 6, 3 and 3?

Which equals 12..

So now do I go;

12 = 500?

4. 6x + 30x + 45x + 7500 = 84450

We have to find how many of each ticket was sold.
($6,$10, $15) 6x + 30x + 45x + 7500 = 84450 81x+7500=84450 81x= 84450-7500 81x=76950 $ x=\frac{76950}{81} $ $\implies x= 950$ No. of 6$ tickets $= 6 \times x = 950 = ~Ans$

No. of 10$tickets $= 3\times x = 3 \times 950=~Ans$ No. of 15$ tickets $= 3x+500 = 3\times 9500 + 500 = ~Ans$

$6 tickets = 6 + x .............= 6x$10 tickets = 10 x 3x = $30............. = 30x$15 tickets = 15x(3x + 500) = 7545.............=15(3x+500)
These are wrong the things in Red are correct