Question

You want to paint the walls of your bedroom. Two walls measure 15 ft by 9 ft, and the other two walls measure 18 ft by 9 ft. The paint you wish to purchase must be purchased in one-gallon cans and costs $17 per gallon. Each gallon will cover 400 ft2 of wall. Find the total amount you will spend on paint.

Answer 1

Answer:

The total amount you will spend on the paint=$34

Step-by-step explanation:

Step 1: Determine total area of walls

The total area of walls=Area of wall 1+area of wall 2+area of wall 3+area of wall 4

where;

area of wall 1=(15×9)=135 ft²

area of wall 2=(15×9)=135 ft²

area of wall 3=(18×9)=162 ft²

area of wall 4=(18×9)=162 ft²

replacing;

Total area of walls=(135×2)+(162×2)=594 ft²

Total area of walls=594 ft²

Step 2: Number of gallons of paint needed

Use the expression;

Total area of walls=area per gallon cans×number of gallon cans needed

where;

total area of walls=594 ft²

area per gallon=400 ft²

number of gallons=n

replacing;

594=400×n

n=594/400

n=1.485

Total number of gallon cans=1.485=2 gallon cans

Step 3: Total cost

The total cost of painting can be expressed as;

Total cost=cost per gallon can×number of gallon cans needed

where;

Cost per gallon=$17

number of gallon cans needed=2

replacing;

Total cost=(17×2)=$34

The total amount you will spend on the paint=$34