This is a problem sum that requires the drawing of a model for the student to be able to visualise better and hence solve the problem with ease. We do not use the branching method for this as it is not suitable. In order of the branching method to be used, effectively, the ‘remainder’ must be of a known fraction value. In the above problem on the other hand, has an unknown remainder. Hope this can help to clarify a little.
We call this the Long Box Model, we can see that after spending $154 on the jacket, Mr Suray is going to spend another 3/8 of the the remainder of his money on the shaver, hence, we cut the ‘remainder’ into 8 units. And 3 units represent what he spent on the shaver. The leftover 5 units represent 1/3 of his original sum of money.
With that, we deduce that he originally had 15 units of money, since 3/3 of his money represents 15 units.
So, since he originally had 15 units of money, and 8 units belong to the ‘remainder’, the other 7 units come to represent the ‘$154’.
Hence we can solve the question with the following steps as seen above (:
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