Using a system of equations, it is found that he bought 18 twigs.
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variable is the amount n.
Nine times the square of the twigs he bought there Is half of their cube, hence the equation is:
[tex]9n^2 = \frac{n^3}{2}[/tex]
Then, applying cross multiplication:
[tex]\frac{n^3}{n^2} = 9 \times 2[/tex]
[tex]n = 18[/tex]
He bought 18 twigs.
To learn more about a system of equations, you can check https://brainly.com/question/24342899