# Sarin’s family celebrating Hari Raya Puasa part 6 (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 acquire the skills to deal with Math Modeling, Problem Sum from Lower Primary School to Upper Primary School level after reading the postings. This posting is an upper primary school math question on Fraction, Ratio and Problem Sum.

You can read the postings on Sarin’s family celebrating Hari Raya Puasa and Sarin’s family and Ramadan in Welcome page about story of Sarin’s family during Ramadan and Hari Raya Puasa.

To read also the postings on Sarin learns the concept of Fraction (mathematics concept) and Sarin learns concept of ratio in school to understand the concept of Fraction and Ratio.

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

Upper primary school mathematics question UPQ262

During Sarin’s family open house for relatives and friends, there were thrice as many relatives as friends at their house. After 72 relatives left their house, the number of friends was 2/3 the number of relatives. What is the total number of relatives and friends who remained at their house?

Solution:

All their friends remained in their house and 75 relatives left

The final number of friends at their house was 2/3 of the number of relatives

Draw the model

From the model

3 units = 72

1 unit = 24

The total number of boys and girls who remained at the camp = 5 × 24 = 120

Alternative solution:

Initial Ratio, Relatives : Friends : (Relatives + Friends) = 3 : 1 : 4 = 6 : 2 : 8

Final Ratio, Relatives : Friends : (Relatives + Friends) = 3 : 2 : 5

The changes was due to 72 relatives left their house and no change of friends

Therefore, 3 units = 72

1 unit = 24

Total number of relatives and friends remain at their house = 5 × 24 = 120

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