Alex and Maria were trying to find the side labeled $x$ in problem 6-92. Their work is shown below.   

1. Look at each student’s work. Why do both multiplying by $3$ and dividing by $\frac { 1 } { 3 }$ make the triangles larger?

   Hint (a):

   Since we know that multiplication and division are opposite operations, how can we explain why this happens?

   More Help (a):

   Consider what happens when you multiply a shape by a number less than $1$; the shape becomes smaller.
   On the other hand, dividing by a number larger than $1$ will also cause a shape to become smaller.
   Are the two expressions above any different?

2. Use Alex and Maria’s strategy to write two expressions to find the value of $y$ in problem 6-92.

   Hint (b):

   Try using the same factors as Alex and Maria to multiply or divide by the appropriate side length to find the value of $y$. Refer to Problem 6-94 for help.

   More Help (b):

   Use the side length $30$ as the multiple or divisor.

   Answer (b):

   $30\div3=10$
   $30\left(\frac{1}{3}\right)=10$