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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?
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
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
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