# Fatimah and Hairu enjoy Congkak game part 32 (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 presents the Math Concept, the Math Questions with solutions that teaches in Singapore Primary Schools. You or the kids can aquire the skills of dealing with the Math Modeling, the Math Problem Solving and the 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 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.

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

Upper primary school mathematics question UPQ544

Fatimah and Hairu had a Congkak game. In the beginning of the game, Fatimah had a bag of beads. She lost 2/9 of the beads to Hairu in the first match and 1/5 of the remaining beads to Hairu in the second match. She won 85 beads in the final match and then she had as many beads as she had at first.

How many beads did Fatimah have in the bag at first?

Solution:

The number of beads lost in the game = 85

Fraction of beads lost in 2nd match reference to total beads = 7/9 × 1/5 = 7/45

Fraction of total number of beads lost = 2/9 + 7/45 = 17/45

17/45 fraction of total beads è 85

1/45 fraction of total beads è 5

Total number of beads Fatimah have at first = 45 × 5 = 225