# Fatimah and Hairu enjoy Congkak game part 23 (Math Question)

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The blog postings are about the Singapore Math. The readers can learn from the postings about Solving Singapore Primary School Mathematics. The blog presenting the Math Concept, Math Questions with solutions that teaches in Singapore Primary Schools. You or the kids can aquire the skills of dealing with Math Modeling, Problem Sum from Lower Primary School to Upper Primary School level after reading the blog postings. This posting is an upper primary school math question on Fraction, Ratio and Problem sum.

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

Read the posting on Sarin learns the concept of Fraction (mathematics concept) to understand Fraction and Portion.

You should also read the posting on to understand mathematics concept of Ratio.

Challenge yourself with the question before look for the given solution‼!

Upper primary school mathematics question UPQ290

After 3 round of CongKak game, 3/5 of Fatimah’s marbles is equal to half of Hairu’s marbles. If Fatimah can gain another 20 marbles from Hairu, they will each have the same number of marbles. How many marbles do the two of them have?

Solution:

Draw the fraction model for two of them based on the equal fractions given

Per the model

1 unit = 40 marbles

Total marbles they have = 11 × 40 = 440

Alternative solution:

3/5 fraction of Fatimah’s sticker = ½ = 3/6 fraction of Hairu’s stickers

Ratio of number of stickers, Fatimah : Hairu = 5 : 6 = 10 : 12

The different in units = 2 units of stickers

Hairu needs to give Fatimah 1 unit of sticker than both of them will have same number of stickers

1 unit = 20 marbles

Total number of marbles they have = 22 × 20 = 440