Lucy decides to paint only the walls of 3 bedrooms in her house. Each room has a door, a closet door, and a window. She is only applying 1 coat of paint to the walls. Each room is 14 feet by 12 feet with 8-foot ceilings. Each door has dimensions 6.5 feet by 2.5 feet. Each window has dimensions 4.5 feet by 3 feet. 1 gallon of paint with cover 350 square feet. Paint is sold in 1-gallon containers. Enter the minimum number of 1-gallon cans of paint she need.

The minimum number of 1-gallon cans of paint Lucy needs is 5.

Step-by-step explanation:

Given in the question,

There are 3 bedrooms of dimensions (14*12*8) feets

Thus total area of the room = area of walls+area of 1 ceiling

= (2*area of opposite walls) + (2*area of another set of opposite walls) + ceiling

= (2*14*8) + (2*12*8) + (14*12)

=224+192+168

=584 square feet.

Now deducting the area of doors and windows of area (6.5*2.5) sq ft and (4.5*3) sq ft;

=584 - (6.5*2.5) - (4.5*3)

=584-16.25-13.5

=554.25 sq ft.

There are 3 such of bedrooms. Thus;

=3*554.25

=1662.75 sq ft.

Now dividing it with 350 sq ft which is the capaciy paint for 1-gallon container;

=1662.75/350

=4.7507.

which is nearly equals to 5. Thus, the minimum number of 1-gallon cans of paint Lucy needs is 5.