Question

Martin uses 5/8 of a gallon of paint to cover4/5 of a wall. What is the unit rate at which Martin paints in walls per gallon

Answer 1

Unit rate at which Martin paints in walls per gallon is
`(32)/(25) wall/gallon`.

Step-by-step explanation:

Rate is defined as ratio between two quantities with different units.

Gallons of paint used by Martin =
`(5)/(8)` gallons

Portion of wall Martin wishes to pint =
`(4)/(5)` wall

Rate at which Martin paints the wall:

`Rate=\frac{\text{Portion of wall covered}}{\text{Paint used}}`

`Rate=((4)/(5) wall)/((5)/(8) gallon)=(32)/(25) wall/gallon`

Unit rate at which Martin paints in walls per gallon is
`(32)/(25) wall/gallon`.