Sarin and his coin bank part 51 (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 UPQ534

Sarin and Hairu have some amount of money in their coin banks. Sarin wanted to give some coins amount to $5 to Hairu so that they would both have the same amount of money. However, Hairu gave some coins amount to $5 to Sarin and Sarin ended up with 6 times as much money as Hairu. How much did Sarin have at first?

Solution:

Sarin gave amount of $5 to Hairu, there were have same amount money

This means that the amount that Sarin had at first was $10 more than Hairu

The model,

UPQ534-1

From the model,

5 units = $20

1 unit = $4

The amount Sarin had at first = 4 + 3 × 5 = $19

Alternative solution:

Sarin gave amount of $5 to Hairu, there were have same amount money

This means that the amount that Sarin had at first was $10 more than Hairu

At first,

Sarin ==> 1 unit + 10

Hairu ==> 1 unit

Hairu gave Sarin $5, Sarin became 6 times as many as Hairu

1 part ==> 1 unit – 5

6 parts ==> 1 unit + 10 + 5 = 1 unit + 15

6 units – 30 = 1 unit + 15

5 units = 45

1 unit = $9

The amount Sarin had at first = 9 + 10 = $19

  More Questions on Problem Sum. Click here….

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