Answer:
[tex]3\frac{1}{2}[/tex] liters of paint needed in each room's bucket.
Step-by-step explanation:
In painting a house [tex]15\frac{3}{4}[/tex] liters of paint were needed for [tex]4\frac{1}{2}[/tex] rooms, the bathroom was small so it's like a half.
Assuming each room needed an equal amount of paint to paint it, we can use the unitary method to calculate the amount of paint that should be poured into each room's bucket to paint it.
Now, for [tex]4\frac{1}{2}[/tex] i.e. [tex]\frac{9}{2}[/tex] rooms we need [tex]15\frac{3}{4}[/tex] or [tex]\frac{63}{4}[/tex] liters of paint.
So, for 1 room we need [tex]\frac{63}{4} \div \frac{9}{2} = \frac{63}{4} \times \frac{2}{9} = \frac{7}{2} = 3\frac{1}{2}[/tex] liters of paint.
Therefore, [tex]3\frac{1}{2}[/tex] liters of paint needed in each room's bucket. (Answer)
