Q:

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?

Accepted Solution

A:
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= $200.30Let 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