Use proportional reasoning to solve percent problems without relying on memorized templates alone.
Model a percent context with a proportion
Problem
Of \(30\) students, \(18\) chose music club. Model the situation with \(\text{part}/\text{whole}~=~\text{percent}/100\), and calculate the percent who chose music club.
Big Picture
What this problem is really about
First decide which group is contained inside the other: the music-club students are the part, and all surveyed students form the whole. Preserve that order in part over whole, then set it equal to an unknown percent over one hundred. Reducing the group ratio offers a quick check on the percent found from the proportion.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
