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Upper primary school mathematics question UPQ36

After a round of Congkak game, 4/7 of the number of seeds that Fatimah has is equal to 3/5 of the number of seeds that Hairu has. What is the ratio of the number of seeds that Fatimah has to the ratio of the number of seeds that Hairu has? If the number of seeds that Hairu has is 40, how many seeds do Fathimah have?

Solutions:

Math model:

Per the above model and redraw

The ratio of number of seeds Fatimah has to number of seeds Hairu has is 21 : 20

Hairu has 40 seeds, 1 unit = 40 ÷ 20 = 2

Fatimah has 2 × 21 = 42 seeds

Alternative solution:

4/7 fraction of seeds that Fatimah has is equal to 3/5 fraction of seeds that Hairu has

4/7 = 12/21 and 3/5 = 12/20

So, the ratio of number of seeds Fatimah has to number of seeds Hairu has is 21 : 20

Hairu has 40 seeds, 1 unit = 40 ÷ 20 = 2

Fatimah has 2 × 21 = 42 seeds

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