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:

$$\begin{gathered} m_1=1\text{ kg}\to \text{ g}=1\cdot 1000\text{ g}=1000\text{ g } \\ {m}_2=100\text{ g } \\ {m}_3=m_1-m_2=1000-100=900\text{ g } \\ m={\displaystyle \frac{2}{2+1}}\cdot m_3={\displaystyle \frac{2}{2+1}}\cdot 900=600\text{ g} \end{gathered}$$

$o={\displaystyle \frac{1}{2+1}}\cdot m_3={\displaystyle \frac{1}{2+1}}\cdot 900=300\text{ g}$

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