Help please!

[Rmad99]

got a question that has stumped me

In order to attract the Olympic Games to Sydney the NSW Government spent $600 000 on TV, radio and magazine advertising. As much was spent on TV advertising as on radio and magazines together and the amount spent on magazines and TV combined was equal to 3 times that on radio. Let t, r and m represent the amounts spent on television, radio and magazine advertising respectively.
Express the information on advertising as a system of linear equations and solve for t, r and m.

best ive got is
t+r+m=600000
t= r+m
and
r= m+t/3

 

[MarkFL]

Your 3rd equation should be:

[MATH]r=\frac{m+t}{3}[/MATH]
Or I would actually write:

[MATH]m+t=3r[/MATH]
Can you proceed?

 

[Rmad99]

Your 3rd equation should be:

[MATH]r=\frac{m+t}{3}[/MATH]
Or I would actually write:

[MATH]m+t=3r[/MATH]
Can you proceed?

Honestly I’m still lost lol, I understand how to get the 3 equations but no so much about what to do with them once I’ve got them, any chace you can go through it step by step for me? Cheers

 

[MarkFL]

Let's look at the first equation:

[MATH]t+r+m=600000[/MATH]
Now, let's look at the third equation:

[MATH]m+t=3r[/MATH]
The first equation can be written as follows:

[MATH](m+t)+r=600000[/MATH]
Can you substitute into the first equation using the third? This will give you an equation in \(r\) alone which will allow you to determine the value of \(r\).