# Sarin and his coin bank part 52 (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 learn the skills of dealing 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 Problem Solving.

You can read the posting on Sarin and his coin bank for the story of coin bank.

Challenge yourself with the Question before look out for the given solution‼!

Upper primary school mathematics question UPQ539

Sarin, Hairu and Fatimah have saved different amounts of money in their coin banks.

The amount of money Hairu has saved is the total of Sarin and Fatimah’s amount.

The amount of money Fatimah has saved is the total of Sarin’s amount and half of Hairu’s amount.

Sarin has saved \$14.

(a)        How much does Hairu have saved?

(b)        How much do these three children have saved altogether?

Solution:

Hairu ==> (Sarin, Fatimah)

Fatimah ==> (Sarin, ½ Hairu)

Fatimah ==> (Sarin, ½ Sarin, ½ Fatimah)

Fatimah ==> (3/2 Sarin, ½ Fatimah)

½ Fatimah ==> 3/2 Sarin

Fatimah ==> 3 Sarin = 3 × 14 = \$42

Hairu ==> 42 + 14 = \$56

Total = 56 + 42 + 14 = \$112

Alternative Solution:

Using model, From the model,

Sarin’s amount è 2 units = \$14

Fatimah’s amount è6 units

Hairu’s amount è 8 units

Total amount è 16 units

The amount that Hairu’s have = 4 × 14 = \$56

The amount the three children have = 8 × 14 = \$112