Clare is painting some doors that are all the same size. She used 2 liters of paint to cover 1 3/5 doors. How many liters of paint are needed or 1 door?

Respuesta :

Answer:

[tex]1\frac{1}{4}\ liters[/tex]

Step-by-step explanation:

step 1

Convert mixed number to an improper fraction

[tex]1\frac{3}{5}=\frac{1*5+3}{5}=\frac{8}{5}[/tex]

step 2

Using proportion

[tex]\frac{2}{(8/5)}\frac{liters}{doors} =\frac{x}{1}\frac{liters}{door}\\ \\x=2/(8/5)\\ \\x=10/8\ liters[/tex]

step 3

Convert to mixed number

[tex]\frac{10}{8}\ liters=\frac{8}{8}+\frac{2}{8}=1\frac{1}{4}\ liters[/tex]

aksnkj

Clare is painting the door. 1.2 liters of paint will be required to cover one whole door.

Given information:

2 liters of paint is required to cover [tex]1\dfrac{3}{5}[/tex]  doors.

The given improper fraction will be equivalent to,

[tex]1\dfrac{3}{5}=\dfrac{8}{5}[/tex]

So, 2 liters of paint can cover [tex]\dfrac{8}{5}[/tex] portion of the door.

Thus, the paint required to cover one door will be,

[tex]2\times \dfrac{5}{8}=\dfrac{5}{4}\\=1.25[/tex]

Therefore, 1.2 liters of paint will be required to cover one whole door.

For more details, refer to the link:

https://brainly.com/question/3617363