Year 7 - Q16.3.10
20896
Three groups are in the ratio \(2:3:4\). A pupil draws sectors of \(80^\circ\), \(120^\circ\) and \(160^\circ\), and says the chart represents exactly 30 pupils. Are the angles correct? Can the count be 30? Find every possible total number of pupils from 20 to 40, inclusive, with this exact ratio.
Hint
Count the ratio parts. Each part must contain a whole number of pupils.