Fatimah and Hairu enjoy Congkak game part 14 (Math Question)

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See the posting on Fatimah and Hairu play Congkak to know about Congkak game.

You should click and read posting  on Sarin learns the concept of Fraction (mathematics concept) to understand the mathematics concept of Fraction.

Upper primary school mathematics question UPQ134

1/3 of Fatimah’s marbles is 20 more than ¼ of Hairu’s marbles. If Fatimah gives half of his marbles to Hairu, Hairu will have 64 more marbles than Fatimah.

(a) How many marbles does Fatimah have?

(b) What fraction of Fatimah’s marbles is Hairu’s marbles? Leave your answer in the simplest form.

 Solution:

            Draw the model as shown:

 

            From the model

            8 units = 64

            1 unit = 8

            The number of marbles that Fatimah had = 6 × 8 + 3 × 20 = 108

            The number of marbles that Hairu has = 8 × 8 = 64 

            The fraction of Fatimah’s marbles to Hairu’s marbles = 108/64 = 27/16 = 1 11/16

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