# Sarin’s family celebrating Hari Raya Puasa part 9 (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, Math Problem Solving and 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 Ratio, Fraction, Percentage 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.

You can read the posting on Sarin learns Average Number, Percentage and Charting in school (Math Concept) to understand about Percentage.

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

Upper primary school mathematics question UPQ293

There was a group of guests in Sarin’s house during the Hari Raya open house. The ratio of the number of friends to the number of relatives was 3 : 5. After a group of relatives joined the open house, the number of friends became 3/10 the new total number of guesta. What was the percentage increase in the number of relatives?

Solution:

At the end, the number of friends is 3/10 fraction of the number of guests

In ratio, Friends to Relatives = 3 : 7

Draw the ratio model There are relatives joined them but not any more friends joined in

The initial number of relatives is 5 units

The number of relatives joined is 10 – 5 – 3 = 2 units

The percentage increase in the number of relatives = 2/5 × 100% = 40%

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