In a group of 120 pupils, 80 can play guitar only and 25 can play piano only. How many pupils can play both instruments if there are 3 pupils who can play neither?

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  1. I bet you are learning about Venn diagrams

    Draw 2 intersecting circles within a rectangle, and label them G and P
    place x in the intersection of both circles
    place 3 in the region inside the rectangle but outside of the circles.
    Place 80 in the G circle not intersected by P
    Place 25 in the P circle not intersected by G

    x + 80 + 25 + 3 = 120 , and the mystery is solved.

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