# Fatimah and Hairu enjoy Congkak game part 33 (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 RatioFraction 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.

Read also the posting on Sarin learns the concept of Ratio (mathematics concept) to understand the concept of Ratio.

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

Upper primary school mathematics question UPQ560

After a round of Congkak game, in the bag of Fatimah has red, blue and yellow beads. The ratio of the number of red beads to the number of blue beads is 2 : 3. The ratio of the number of yellow beads to the total number of red and blue beads is 2 : 7. What fraction of the beads in the bag are blue?

Give your answer in the simplest form.

Solution:

Only Red, Blue and Yellow beads in the bag and the total number of beads in the bag no change.

The ratio of red to blue beads,

R : B : (R + B) = 2 : 3 : 5 = 14 : 21 : 35

The ratio of yellow to red and blue beads,

Y : (R + B) = 2 : 7 = 10 : 35

The ratio of red to blue to yellow beads,

R : B : Y : Total = 14 : 21 : 10 = 45

The fraction of beads are blue in the bag = 21/45 = 7/15

Alternative Solution:

Visualise by using model, From the model,

The fraction of blue beads in the bag = 21/45 = 7/15