Model Method - Questions and Answers

Question posted by Tammy from Singapore:

Grade/Level: P4

Question solved by Model Method: Mr Gogo gave his children Hoho and Haha the same amount of allowance last week. After Hoho had spent $58 and Haha had spent $10, Haha had 4 times as much money left as Hoho. How much allowance did each of them receive last week?


Step 1: It is easier to start with the "After" model and work backwards. First, draw 4 boxes to represent the amount of money Haha had and 1 box to represent the amount of money Hoho had.


Step 2: Next, Draw another box to the right of Haha's model to show the $10 spent and draw another box to the right of Hoho's model to show the $58 spent. Take note that the two models should be equally long as both of them had the same amount of allowance.


Step 3: By comparing the 2 models, we can see that 3 units of the equal unknowns are equal to $58 - $10 = $48.


From the model,

3 units ----------------- $48

1 unit ----------------- $48 / 3 = $16

$16 + $58 = $74

Therefore, each of them had $74 of allowance last week.

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