Use proportional reasoning to solve percent problems without relying on memorized templates alone.
Pick the percent proportion that fits
Problem
A school club has \(12~\text{students}\) who walk to meetings out of \(48~\text{members}\). Evaluate setup A, \(12/48~=~x/100\), and setup B, \(48/12~=~x/100\). Report the setup letter that preserves \(\text{part}/\text{whole}~=~\text{percent}/100\), and calculate the percent.
Big Picture
What this problem is really about
Label the students who walk as the part and the entire club membership as the whole before comparing the two setups. The fitting proportion must preserve part over whole on the left and percent over one hundred on the right. Once that structure is confirmed, reduce the student ratio or solve the proportion, then express the result with percent units.
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