# Purchase

Three buyers pay € 468. The first paid 3-times more than second, third half over second. How many euros paid each of them?

Result

a =  255.3
b =  85.1
c =  127.6

#### Solution:

$a+b+c=468 \ \\ a=3 \cdot b \ \\ c=1.5 \cdot b \ \\ \ \\ a = 3 \cdot b = 255.3 \ \text{ Eur }$
$b = \dfrac{ 468}{ 3+1+1.5} = 85.1 \ \text{ Eur }$
$c = 1.5 b = 127.6 \ \text{ Eur }$

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