Question

A recipe calls for 1 cup of milk for every `2 1/2` cups of flour to make a cake that would feed 6 persons. How many cups of both flour and milk will be needed to make a similar cake for 8 people?

Answer 1

Given, milk needed for making cake = 1 cup

And floor needed for making cake = `2 1/2` cups = `5/2` cups

Then, total amount needed = Milk + Flour

= `(1 + 5/2) = 7/2` cups

So, `7/2` cups of milk and flour re needed to make cake for 6 persons.

Let the needed amount of cups of milk and flour to make cake for 8 persons = x (where, x is multiple of cups)

So, Cups : Persons :: Cups : Persons

`7/2 : 6 :: x : 8`

`(7/2)/6 = x/8`

`6 xx x = 7/2 xx 8`  .....[By cross-multiplication]

`x = 7/2 xx 8 xx 1/6`

`x = 14/3 = 4 2/3`

Hence, the cups needed for 8 persons is `4 2/3`.