Question

A recipe for pie dough calls for a ratio of butter to flour of 2/3

: 1 3/4
. If you plan to use 7 cups of flour, how much butter should you use to keep the same ratio?

Answer 1

Answer:2&2/3

Explanation:

Answer 2

Ratio of butter to flour that is to be used for making pie dough is :-

`= (2)/(3) : 1 (3)/(4)`

Number of cups of flour I am using = 7 cups of flour

Number of cups of butter I need to use :-

Let x be the quantity of butter needed .

`= (2)/(3) : (7)/(4) :: x : 7`

`= (2)/(3) * 7 = (7)/(4) x`

`= (14)/(3) = (7)/(4) x`

`= (7)/(4) x = (14)/(3)`

`= x = (14)/(3) / (7)/(4)`

`= x = (14)/(3) * (4)/(7)`

`= x = (56)/(21)`

`= x = (8)/(3)`

Therefore , this recipe would need :-

`(8)/(3) \: or \: 2 (2)/(3)\: cups \: of \: butter \: .`