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You can click here and read the posting **A family in Singapore** about Sarin’s family.

Read the posting on ** Sarin learns the concept of Fraction (mathematics concept)** to understand the concept of Fraction.

*Challenge yourself with the question before look for the given solution‼!*

**Upper primary school mathematics question UPQ568**

Sarin and Hairu shared a sum of $200. Sarin gave 3/5 of what he has to Hairu. Hairu later gave 1/5 of what he has back to Sarin. They ended up with equal amount of money. How much did Sarin have at first?

Solution:

The total amount did not change in this case.

Sarin and Hairu at the end have equal amount of money.

At the end, each of them has $100.

Hairu given 1/5 of his money to Sarin at the final stage,

So the amount $100 he had finally was 4/5 of the his amount before that

4 units = $100

1 unit = $25

Hence,

Hairu have before = 100 + 25 = $125

Sarin have before = 100 – 25 = $75

It was Sarin that giving Hairu 3/5 of his money first,

The amount of $75 was 2/5 of what he has at first,

2 units = 75

1 units = $37.5

The amount Sarin has at first = 5 × 37.5 = $__187.50__

__Alternative solution:__

Using of model,

Start with final model and reverse the process

Hairu gets back 1/5 of his money from Sarin

Sarin then gets back 3/5 of his money from Hairu and the model shown the ‘at first’ scenarios.

From the model (at first),

16 units = 200

1 unit = $12.5

The amount Sarin had at first = 15 × 12.5 = $__187.5__