# 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:

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

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