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MF.PR.7 Challenge MF-021-A12-V02

Solve proportion equations and explain why the setup matches the context.

Identify all valid setups for one proportion problem

Problem

A recipe uses \(5~\text{cups}\) of flour to make \(8~\text{dozen}\) cookies. Which complete response correctly evaluates the candidate equations for modeling cups of flour \(x\) for \(14~\text{dozen}\) cookies?

A. \(5/8~=~x/14\)
B. \(8/5~=~14/x\)
C. \(5/x~=~8/14\)
D. \(8/14~=~x/5\)
E. \(5/8~=~14/x\)
F. \(x/14~=~8/5\)

Question support graphic for a recipe proportion problem. The top panel shows the original pair 5 cups and 8 dozen cookies, and the new pair x cups and 14 dozen cookies. Below are six option cards A through F. Each card shows one candidate equation with small labels marking original or new cups and dozens on the numerator and denominator so students can compare whether the order is preserved. Open full size
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Four variants of this problem type
Curriculum context
Standard
MF.PR.7
Category
Proportional Reasoning
Domain
Equations
Objective
Solve proportion equations and explain why the setup matches the context.
Problem type
Identify all valid setups for one proportion problem