Lia,Phil, and Cam collect a total of $200.30 for a holiday fundraiser. Phil collects $12.80 more than Lia. Cam collects 3 times as much as Lia. How much does each person collect?

Respuesta :

Answer:

The amount collected by lia, phil and cam are $37.5, $50.3 and $112.5 respectively.

Explanation:

Amount collected by Lia, Phil, and Cam  for a holiday fundraiser= $200.30

Let the amount collected by lia be $n.

Phil collects $12.80 more than Lia.  

Then, amount collected by phil will be $(n + 12.8)

Cam collects 3 times as much as Lia.  

Then, amount collected by cam will be $3n

Now, we know that, total amount = $200.3

Lia amount + phil amount + cam amount = 200.3

n + n + 12.8 + 3n = 200.3  

5n = 200.3 – 12.8  

5n = 187.5  

[tex]n = \frac{187.5}{5}[/tex]

n = 37.5

Then , amount collected by phil will be

$(n + 12.8)  = $(37.5 + 12.8) = $50.3 and  

The amount collected by cam will be

$3n  = $(37.5 x 3) = $112.5

Answer:

$37.5, $50.3 and $112.5