Question

A 96-ounce bottle of laundry detergent can be used to wash 64 loads of laundry. What is the total number of loads of laundry that can be washed using a 60-ounce bottle of the same detergent?

Answer 1

`color(blue)(40 " loads")`

Explanation:

If:

`96"oz"=64"loads"`

`1"oz"=64/96=2/3`

Then:

`60xx2/3=40`

`60"oz"` bottle washes `40 " loads"`

Answer 2

`40` loads of laundry can be washed.

Explanation:

Let `x` be the number of laundry loads that the 60 ounce bottle can wash. We can describe the problem as a set of ratios:

`96` (ounces of detergent) `//` `64` (loads of laundry) = `60//x`

Let's set them equal to each other and solve for `x`. Let's remember that when `a/b=c/d`, `ad=bc`:

`96/64=60/x`
`96x=60**64`
`96x=3840`
`x=40`

Hope this helped!!