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Geometry

500 people are enrolled in at least two of these three classes: art, drama, and piano. 170 are enrolled in both art and drama, 150 are enrolled in both piano and drama, and 300 are enrolled in art and piano. How many of the 500 people are enrolled in all three?

Reply 1

Y2_UniMaths

Venn diagram with 3 circles. My way of approaching these problems is to introduce algebra. For example draw up the sketch of the Venn diagram and label each section in the circles a new letter, so a,b,c... etc. Then write down what you know. I.e a+b=170. And do this for all of them including the entire set. Then rearrange and sole for each variable. This may not be the quickest way but you can’t go wrong with it