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The chemistry teacher at Stevenson High School is ordering equipment for the laboratory. She...

Question:

The chemistry teacher at Stevenson High School is ordering equipment for the laboratory. She wants to order sets of five weights totaling 121 grams for each lab station. Students will need to be able to weigh every integral weight from 1 to 121 grams using these weights and a two-pound balance. What weights should the teacher order?

Hit and trial

This type of question that asks for minimum weights or minimum sets of anything to form every set of numbers in a range has a general way of solving.

Answer and Explanation:

We need to think in the base of 3.

I can balance any number between 1 to 4 with 1g and 3g weights only.

Like if we list weight on each side as a...

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