A recipe calls for 1 cup of milk for every 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?
The ratio of number of cups of milk to number of people is constant
When number of cups of milk = 1 number of people are 6
⇒ ratio = = …(i)
When number of people are 8 let number of cups of milk required be ‘a’
⇒ ratio = =
⇒ a =
Divide numerator and denominator by 2 we get
⇒ a = = = +
⇒ a = 1 + = 1 cups of milk
The ratio number of cups of milk to number of cups of flour is constant
When number of cups of milk is 1 number of cups of flour =
⇒ ratio = = = …(ii)
Let number of cups of flour required be ‘b’ when number of cups of milk are
⇒ ratio = = =
⇒ 3b × 2 = 4 × 5
⇒ b =
Divide numerator and denominator by 2
⇒ b = = = +
⇒ b = 3 cups of flour
Therefore, cups of milk needed to make cake for 8 people is 1 and that of flour is 3
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