Problem preview
MF.PR.3 Challenge MF-017-A12-V03

Generate and justify equivalent ratios using scaling, tables, and diagrams.

Screen for equivalent-ratio representations

Problem

The ratio of wins to losses for a team is \(7:4\). Evaluate every candidate below against \(\text{wins}:\text{losses}~=~7:4\).

1. Ratio \(14:8\)
2. Ratio \(21:11\)
3. Table: wins \(7\), losses \(4\); wins \(14\), losses \(8\); wins \(28\), losses \(16\)
4. Statement: “The team loses \(7\) games for every \(4\) wins.”
5. Diagram description: each matching card uses filled squares to represent wins and unfilled squares to represent losses, and each card shows \(7\) filled squares and \(4\) unfilled squares
6. Statement: “Out of every \(11\) games, \(7\) are wins and \(4\) are losses.”

Include every candidate equivalent to \(7:4\).

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Four variants of this problem type
Curriculum context
Standard
MF.PR.3
Category
Proportional Reasoning
Domain
Ratios and Rates
Objective
Generate and justify equivalent ratios using scaling, tables, and diagrams.
Problem type
Screen for equivalent-ratio representations