Sarin and his coin bank part 50 (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 UPQ510

Sarin and Fatimah have a sum of money each in their coin bank. When Sarin gives \$126 to Fatimah, he has 3 times as much money as Fatimah. When Sarin gives another \$46 to Fatimah, he has \$266 more than Fatimah. How much money does Fatimah have at first?

Solution:

Start the math model with Sarin has 3 times more money than Fatimah, then add in the amount that Sarin gives to Fatimah. (\$126 and then \$46)

The model

From the model,

2 units = 266 + 46 + 46 = 358

1 unit = \$179

The amount Fatimah has at first = 179 – 126 = \$53