Solving a challenging PSLE Maths problem using the model approach (1)

QN: A farmer has some chickens and ducks. If he sells 2 chickens and 3 ducks every day, there will be 50 chickens left when all the ducks have been sold. If he sells 3 chickens and 2 ducks every day, there will be 25 chickens left when all the ducks have been sold.


(a) How many ducks are there?


(b) How many chickens are there?


SOLUTIONS:


The premise of the model constructed below shall be interpreted as such:


1. The number of chickens less 2/3 the number of ducks is equal to 50 animals


2. The number of chickens less 3/2 times the number of ducks is equal to 25 animals.



(a) There are 5 × 6 = 30 ducks (shown)


(b) There are 50 + 4 × 5 = 70 chickens (shown)


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The above content is an extract from "50 Challenging PSLE Maths Problems" - purchase a copy of the entire e-book HERE.

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