Word Problem - Ratio

Question   :

A farmer has equal number of chickens and ducks. After he sold 10 chickens and 36 ducks, The ratio of chickens he has to the ratio of duck he has became 3:1. How many chickens do he had at first?

Model Methods

Different remaining = Difference sold

               

                 2 units         26

                 1 unit  13

At first the farmer had 3 x 13 + 10 = 49 chickens

Alternate Methods

Make sure both the final quantities (3 parts and 1 part) are equal. Multiply the entire column by the same number

then we have the following table

As both the chickens and ducks are having the same final quantities, we can find out the below

2 units108 - 10   =   98

1 unit  49

                                                                                                             ANS :       49 chickens