Answer: 32/345 wall per gallon
Step-by-step explanation:
Rate is defined as ratio between two quantities with different units.
Gallons of paint used by Martin = 8 5/8 gallons = 69/8 gallons
Portion of wall Martin wishes to pint = 4/5 wall
Rate at which Martin paints the wall:
= Portion of wall covered / paint used
=
4/5 / 69/8 = 32/345 wall per gallon
Answer:
Martin paints 0.093 walls per gallon of paint
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Amount of paint used by Martin = 8 5/8 of a gallon
Ratio of wall painted by Martin with 8 5/8 of a gallon = 4/5
2. What is the unit rate at which Martin paints in walls per gallon?
Let's convert the mixed fractions to decimals this way:
8 5/8 = 8 + 0.625 = 8.625
4/5 = 0.8
Now, let's use the Direct Rule of Three, this way:
Gallons Walls
8.625 0.8
x 1
Solving for x :
0.8x = 8.625 * 1
x = 8.625/0.8
x = 10.78125
x = 10.8 (rounding to next tenth) gallons
For painting a wall, we will use 10.8 gallons of paint. Now, we can calculate the unit rate at which Martin paints in walls per gallon, this way:
Gallons Walls
10.8 1
1 x
Solving for x :
10.8x = 1
x = 1/10.8
x = 0.09259
x = 0.093 (rounding to the next hundredth) walls per gallon of paint
