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प्रश्न
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?
उत्तर
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`.
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