# Ratio

6 numbers are in the ratio 1:5:1:5:5:5. Their sum is 242. What are the numbers?

Correct result:

a =  11
b =  55
c =  11
d =  55
e =  55
f =  55

#### Solution:

$a = \dfrac{ 1 \cdot 242}{ 1+5+1+5+5+5} = 11$
$b = \dfrac{ 5 \cdot 242}{ 1+5+1+5+5+5} = 55$
$c = \dfrac{ 1 \cdot 242}{ 1+5+1+5+5+5} = 11$
$d = \dfrac{ 5 \cdot 242}{ 1+5+1+5+5+5} = 55$
$e = \dfrac{ 5 \cdot 242}{ 1+5+1+5+5+5} = 55$
$f = \dfrac{ 5 \cdot 242}{ 1+5+1+5+5+5} = 55$

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