Let's discuss a problem from the AMC 2021 Middle Primary Category: Problem 14 which revolves around basic algebra.

Question

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Five boxes are compared on a balance.

Which of the five boxes is lightest?

Solution

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From the picture we can understand that box $C$ isd lighter than box $A$. Again box $C$ is heavier than box $D$. Thus box $C$ is not lightest.

Box $D$ is lighter than box $C$ but heavier than box $E$. So box $D$ is not lightest.

Box $E$ is lighter than box $D$ but heavier than box $B$.

Thus the relation we get is:

$A\li C \li D \li E \li B$.

Thus box $B$ is the lightest.

What is AMC (Australian Mathematics Competition)?

The Australian Mathematics Competition (AMC) is one of Australia's largest and oldest annual mathematics competitions, aimed at fostering interest and excellence in mathematics among students.

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