# Model Method - Questions and Answers

Question posted by Tammy from Singapore:

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.

Go To Top - Model Method - Questions and Answers