# Sarin’s family celebrating Hari Raya Puasa part 22 (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 acquire the skills to deal 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 PercentageFraction 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 the posting on Sarin learns the concept of Fraction (mathematics concept) to understand the concept of Fraction.

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

Upper primary school mathematics question UPQ571

Sarin’s mother served the guests with Malay Kuehs during Hari Raya. 120 Kuehs were consumed in the morning of that day and 40% of the remaining Kuehs were consumed in the afternoon. The final number of Kuehs left in the end was  of what she had at first. How many Malay Kuehs were consumed in the afternoon?

Solution:

1/3 of the total Kuehs is 60% of the remaining Kuehs

60% ==> 1/3

10% ==> 1/18

The remaining Kuehs is 100%

100% ==> 10/18 = 5/9 of the total Kuehs

In the afternoon, Kuehs consumed were 40%

40% ==> 4/18 = 2/9

The morning, Kuehs consumed is 1 – 5/9  = 4/9

4/9 ==> 120

2/9 ==> 60

The number of Kuehs consumed in the afternoon = 60

Alternative solution:

Using math model,

The final number of Kuehs left in the end was  of what she had at first and is 60% of the remaining.

Subdivide  of what she had at first to 6 subdivision, another word total amount is 18 subdivisions.

Per the model,

8 units = 120

1 unit = 15

The number of Kuehs consumed in the after = 4 × 15 = 60