Maths Mate Term 1 Sheet 1 Problem

Question 23: Which two weight need to be swapped to balance the scales?

Predict: I think this problem is a number based problem. I predict will involve a lot of problem solving skills.

Clarify: Balance- each side needs to be equal/ even weight

Find the big picture: Swap two weights so both sides weigh

Solution:

1. I added up each side to see how much they weighed. The LHS weighed 16 kg an the RHS weighed 12.

2. Added together both sides weighed 28 kgs, which means each side has to weigh 14 kgs.

3. I used trial and error by swapping different numbers and seeing if they added up to 14.

4. First I tried swapping 5 and 9. It made 19 on the RHS. So I tried swapping 7 and 9. It made 14 on the RHS and the LHS. Yes!

Summary: The strategy I used to solve this problem was Guess, Check and Improve.

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