Problem preview
MF.PR.3 Challenge MF-017-A12-V04

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

Screen for equivalent-ratio representations

Problem

A classroom has a boys-to-girls ratio of \(5:8\). Evaluate every candidate below against \(\text{boys}:\text{girls}~=~5:8\).

1. Ratio \(10:16\)
2. Ratio \(15:24\)
3. Table: boys \(5\), girls \(8\); boys \(10\), girls \(16\); boys \(20\), girls \(32\)
4. Table: boys \(5\), girls \(8\); boys \(15\), girls \(23\); boys \(20\), girls \(32\)
5. Diagram description: \(\text{three}~\text{identical}~\text{groups}\), each with \(5\) boys icons and \(8\) girls icons
6. Statement: “There are \(8~\text{boys}~\text{for}~\text{every}~5~\text{girls}\).”
7. Statement: “In a group of \(13\) students with the same ratio, \(5\) are boys and \(8\) are girls.”

Include every candidate with the same ratio.

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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