Enlarged 63034

Divide 130 nuts into two parts so that the smaller part enlarged four times equals the larger part reduced three times. How many nuts are in the smaller pile?

Correct answer:

a =  10

Step-by-step explanation:

$$\begin{gathered} a+b=130 \\ 4\cdot a=b/3 \\ a+b=130 \\ 12a-b=0 \\ Pivot:Row1\leftrightarrow Row2 \\ 12a-b=0 \\ a+b=130 \\ Row2-\frac{1}{12}\cdot Row1\to Row2 \\ 12a-b=0 \\ 1.08b=130 \\ b=\frac{130}{1.08333333}=120 \\ a=\frac{0+b}{12}=\frac{0+120}{12}=10 \\ a=10 \\ b=120 \end{gathered}$$

Try another example