Answer:
She can paint 6 rooms.
Step-by-step explanation:
Given:
Maya decided to paint some of the rooms in her hotel. She found out that a room required 3/2 cans of paint.
If Maya buys 9 cans of paint.
Now, to find the rooms she can paint.
So, we use unitary method to get the number of rooms:
If, [tex]\frac{3}{2}[/tex] cans of paint is needed to paint 1 room.
Then, 1 can of paint is needed to paint = [tex]\frac{1}{\frac{3}{2}} =\frac{2}{3}[/tex] room.
Thus, 9 cans of paint is needed to paint = [tex]\frac{2}{3} \times 9[/tex]
[tex]=\frac{18}{3} \\\\=6\ rooms.[/tex]
Therefore, she can paint 6 rooms.