# Sarin’s family attend concert at the Esplanade Part 34 (Math Question)

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The blog postings are about the Singapore Math. The readers can learn from the postings on 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 learn how to deal with the Math Modeling, the Math Problem Solving and the Problem Sum from Lower Primary School to Upper Primary School level. This posting is an upper primary school math question on  Fraction and Problem Solving.

The story on Sarin’s family attend concert at the Esplanade you can read postings on Sarin’s family attend concert at the Esplanade in Welcome category and Sarin’s family attend concert at the Esplanade Part 2 (Math Question).

Click and read the posting on Sarin learns the concept of Fraction (mathematics concept) to understand Portion or Fraction.

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

Upper primary school mathematics question UPQ542

In The Esplanade Library, there were 500 fiction books more than non-friction books. When more books were added to the Esplanade Library, the number of fiction books increased by ¼, while the number of non-fiction books increased by 2/3. The total number of books became 3145. How many non-fiction books were there after the increase?

Solution:

Initially, The number of friction books is 500 more than the number of non-friction books,

Non-frction books increased by 2/3, if subdivision of non-friction books to 3 sub-portions, then we need to add another 2 sub-portions to the model,

The frction books increased by ¼, in order to fit in the model, we need to subdivided one sub-portoion into 4 smaller portions.

The final model as below.

Per the model,

35 units = 3145 – 500 – 125 = 2520

1 unit = 72 books

The number of non-fiction books after increased = 20 × 72 = 1440