Sarin’s family attend concert at the Esplanade Part 28 (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 FractionRatio and Problem Sum.

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.

You should read also the posting on Sarin learns concept of ratio in school to understand mathematics concept of Ratio.

Upper primary school mathematics question UPQ495

In the Esplanade Concert hall, 3/5 of the people are adults and 1/4 of the adults are men. If there are 128 children, how many women are there at the Esplanade concert hall?

 Solution:

Draw the model per 3/5 fraction of the people are adults

UPQ495-1

From the model,

2 units = 128

1 unit = 64

The number of adults in the Esplanade concert hall = 3 × 64 = 192

Since ¼ of the adults are men

UPQ495-2

From the model

4 units = 192

1 unit = 48

The number of women in the Esplanade concert hall = 3 × 48 = 144

Alternative Solution (1):

UPQ495-3

Per the model

8 units = 128

1 unit = 16

The number of women in the Esplanade concert hall = 9 × 16 = 144

Alternative Solution (2) :

Using ratio,

3/5 fraction of the people are adults, the rest are children

The ratio of Adults to Children

Adults : Children = 3 : 2 = 12 : 8

¼ of the adults are men, the rest are women

The ratio of Women to men

Women : Men : Adults = 3 : 1 : 4 = 9 : 3 : 12

Hence,

Women : Men : Children = 9 : 3 : 8

The number of children = 128

8 units = 128

1 unit = 16

The number of women in the Esplanade concert hall = 9 × 16 = 144

   More Questions on Problem Sum. Click here…

More Questions on Fraction and Ratio. Click here….

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