Question:
Martin uses 5/8 of a gallon of paint to cover 4/5 of a wall. what is the unit rate at which Martian paints in walls per gallon
Answer:
0.78125 walls per gallon
Step-by-step explanation:
Given
[tex]Paint = \frac{5}{8}\ gallon[/tex]
[tex]Wall = \frac{4}{5}[/tex]
Required
Determine the unit rate
This is calculated as:
[tex]Unit\ Rate = \frac{Wall}{Paint}[/tex]
Substitute values for wall and paint
[tex]Unit\ Rate = \frac{5/8}{4/5}[/tex]
Simplify:
[tex]Unit\ Rate = \frac{5}{8}/\frac{4}{5}[/tex]
Change to *
[tex]Unit\ Rate = \frac{5}{8}*\frac{5}{4}[/tex]
[tex]Unit\ Rate = \frac{5*5}{8*4}[/tex]
[tex]Unit\ Rate = \frac{25}{32}[/tex]
[tex]Unit\ Rate = 0.78125[/tex]
Hence, the unit rate is: 0.78125 walls per gallon