Maths mate, Team 1 Sheet#1 Problem 1

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

Predict: I think this problem is a number based problem. I predict I will need to use addition and subtraction.

Clarify: balance – each side needs to be equal/even weight.

Find the big picture: Swap 2 weights so both sides weigh the same.


1. I added both sides to see how much each side weighed. I found that the LHS weighed 15kg and the RHS weighed 12kg. I  swapped 9kg with 7kg. The LHS now weighs 14kg and the RHS weighs 14kg. Both sides now balance.

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

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