A container can fit exactly 5 basketballs, 25 softballs, or 125 table tennis balls. 2 basketballs, 10 softballs and some table tennis balls are put into such a container. What is the greatest possible number of table tennis balls that can fit into the container?

About this Simulation

This simulation models a container packing scenario where students determine the greatest number of table tennis balls that can fit alongside basketballs and softballs. By exploring the equivalence relationships between different ball sizes and container capacity, learners develop strategies for solving constraint-based optimization problems using proportional reasoning.

Learning objectives: Understand and apply unit ratios to determine relative volumes of objects | Solve optimization problems by working with multiple constraints and equivalent quantities | Develop logical reasoning skills for real-world packing and resource allocation scenarios

Title and author:

A container can fit exactly 5 basketballs, 25 softballs, or 125 table tennis balls. 2 basketballs, 10 softballs and some table tennis balls are put into such a container. What is the greatest possible number of table tennis balls that can fit into the container?
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author image weelookang@gmail.com; Francisco Esquembre; Felix J. Garcia Clemente

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