Problem of the Week
POWs will help you build your logical, creative and mathematical thinking. When submitting your entries, show us ‘how’ you think! Explain how you executed the problem solving strategy you used or when you can, show more than one way of solving the problem!
Method 1: Working Backwards
Since $4 is 1/3 of what she had left after losing money, then $12 is 3/3 of what she had left after spending money. More simply, $12 is what she had left after spending money. But $12 is 1/3 of what she had to begin with. Therefore, $36 is the whole amount she had at the start.
Method 2: Bar Model Method
Make a diagram showing the transactions.
Method 3: Representation
Let M be the amount of money the woman had left.
2M is the amount of money lost.
6M is the amount of money the woman spent.
∴ 9 M is the amount of money that the woman had at the start.
Since M = 4, 9M =36.
Week 5 https://www.youtube.com/watch?v=09OSfaHluNQ
You can access the POW's for Term 2
here:https://sites.google.com/parra.catholic.edu.au/numeracy/term-2