Q. 61

# 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 = =

Using (i)

=

Cross multiply

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 = = =

Using (ii)

=

Cross multiply

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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