Question

Karen Sue has 6 pairs of jeans that

are ripped. If that represents 40%
of the total pairs of jeans in her
wardrobe, what is the total number
of pairs of jeans in her wardrobe?
Set up as a proportion and solve.

Answer 1

The total number of pairs of jeans in Karen Sue's wardrobe is 15.

Step-by-step explanation:

We can set up the proportion as:

6 pairs of ripped jeans / Total pairs of jeans = 40% / 100%

We can simplify this proportion as:

6 / Total pairs of jeans = 40 / 100

To solve for the total number of pairs of jeans, we can cross-multiply and solve for the variable:

6 * 100 = Total pairs of jeans * 40

Then, divide both sides of the equation by 40 to isolate the variable:

(6 * 100) / 40 = Total pairs of jeans

Simplifying this gives us:

<Total pairs of jeans = 15

Answer 2

The total number of pairs of jeans in her wardrobe is 15.

Step-by-step explanation:

We solve this question using proportions.

6 pairs of jeans represents 40% of the total.

The total is x. Using proportions:

`(6)/(x) = (40)/(100)`

`(6)/(x) = 0.4`

`0.4x = 6`

`x = (6)/(0.4)`

`x = 15`

The total number of pairs of jeans in her wardrobe is 15.