# Nutballs

The dough for nutballs contains, among other things, two basic raw materials: flour and nuts in a ratio of 2:1. How much flour and how many nuts are needed for 1 kg of dough if "other" is 100g?

Correct result:

m =  600 g
o =  300 g

#### Solution:

$m_{1}=1 \ kg \rightarrow g=1 \cdot \ 1000 \ g=1000 \ g \ \\ m_{2}=100 \ \text{g} \ \\ \ \\ m_{3}=m_{1}-m_{2}=1000-100=900 \ \text{g} \ \\ \ \\ m=\dfrac{ 2 }{ 2+1 } \cdot \ m_{3}=\dfrac{ 2 }{ 2+1 } \cdot \ 900=600 \ \text{g}$
$o=\dfrac{ 1 }{ 2+1 } \cdot \ m_{3}=\dfrac{ 1 }{ 2+1 } \cdot \ 900=300 \ \text{g}$

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