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.

25x + 15y = 265

x+y = 13

Step-by-step explanation:

Step 1:

Given

Number of shirts Leah can iron in an hour = 25 shirts

Number of shirts Christopher can iron in an hour = 15 shirts

Total number of hours worked by both = 13 hours

Total number of shirts ironed by them = 265 shirts

Step 2 :

Let x represent the number of hours Leah works and y represent the number of hours Christopher works

Leah irons 25 shirts in one hour, so in x hours he would iron 25x shirts

Christopher irons 15 shirts in one hour, so in y hours he would iron 15y shirts

Given total shirts ironed by them together is 265 , we have

25x + 15y = 265

They worked a combined of 13 hours, so

x+y = 13

Step 3:

The system of equations that could be used to determine the number of hours Leah worked and the number of hours Christopher worked are ,

25x + 15y = 265

x+y = 13