# Sarin’s family and The Great Singapore Sale Part 12 (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 Ratio and Problem Solving.

Read the posting on Sarin’s family and The Great Singapore Sale in the Welcome category for the story.

You can read the posting onSarin learns concept of ratio in school to understand the concept of Ratio.

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

Upper primary school mathematics question UPQ472

Sarin, Hairu and Fatimah spent a sum of money during the Great Singapore Sale. The ratio of Sarin’s spent to Hairu’s spent was 3 : 2. The ratio of Hairu’s spent to the sum of Sarin’s and Fatimah’s spent was 3 : 5. If Fatimah spent \$8, find the sum of money spent by the three of them.

Solution:

Make the math model

From the model

Total amount spent = 16 × 8 = \$128

Alternative Solution:

The ratio of spending,

Sarin : Hairu = 3 : 2 = 9 : 6

Hairu : Sarin + Fatimah = 3 : 5 = 6 : 10

Sarin : Hairu : Sarin + Fatimah = 9 : 6 : 10

Sarin : Hairu : Fatimah = 9 : 6 : 1

Fatimah spent \$8

1 unit = \$8

Total amount spent = 16 × 8 = \$128