Asked by Anonymous
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?
Answers
Answered by
Reiny
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
solve:
x + 80 + 25 + 3 = 120 , and the mystery is solved.
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
solve:
x + 80 + 25 + 3 = 120 , and the mystery is solved.
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