Question

When Mrs. Stewart makes pie dough, she uses 2/3 cup of shortening for every 2 1/2 cups of flour which proportion could be used to find the amount of flour, x Mrs. Stewart needs when she uses 5 cups of shortening

Answer 1

The amount of flour Mrs.Stewart needs for 5 cups of shortening
`=(75)/(4) =18\tfrac{3}{4}` cups.

Explanation:

Mrs.Stewart pie dough needs
`(2)/(3)` cups of shortening for
`2\tfrac{1}{2}=(5)/(2)` cups of flour.

Now we assume that the shortening needed for
`x` cups of flour is
`y` cups.

Accordingly we can arrange the ratios.

So for one cup of shortening how many cups of flour is needed we have to use the unitary method:

`(cups\ of flour\ (x))/(cups\ of\ shortening\ (y)) =(x)/(y) =(5/2)/(2/3)`

Plugging the value of
`y=5` as it is number of cups of shortening Mrs.Stewart have used.

And multiplying both sides with
`5`.

Number of cups of flour needed when
`5` cups of shortenings are used
`(x) =(x)/(y) =(5/2)/(2/3)`.

So,
`(x)=(5* 3* 5)/(2* 2) =(75)/(4) = 18\tfrac{3}{4}`

The amount of floor Mrs.Stewart needed for
`5` cups of shortening
`= 18\tfrac{3}{4}\` cups of floor.