Question

clare is painting some doors that are the same size. She used two liters of paint to cover 1 3/5 doors. How many lters of paint are needed for 1 door?

Answer 1

1
`(1)/(4)` liters of paint is required to cover the specified door.

Explanation:

Step 1 :

Quantity of paint used = 2 liters

Number of doors covered = 1
`(3)/(5)` doors =
`(8)/(5)` doors

We need to find how many liters of paint are need for 1 door

Step 2 :

Quantity of paint used is in direct proportion to the number of doors covered, This means if we have more doors to paint the quantity of paint required will be more.

So using direct proportion we have

For
`(8)/(5)` doors we need 2 liters therefore for 1 door we will need 2 ÷
`(8)/(5)` liters =
`(5)/(4)` = 1
`(1)/(4)` liters of paint

Step 3 :

Answer :

1
`(1)/(4)` liters of paint is required to cover the specified door.

Answer 2

The paint required to cover 1 door is 5/4 liters.

Explanation:

The paint required to cover 1 3/5 doors = 2 liters.

Convert mixed fraction into proper fraction.

• Therefore, the paint required to cover 8/5 doors = 2 liters.
• The paint required to cover 1 door = x liters.

To find x :

Comparing the given data and the unknown data.

8/5 door / 2 liters = 1 door / x liter

x = 2 × 5/8

x = 10/8

x = 5/4 liters.

The paint required to cover 1 door is 5/4 liters.