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Out of a group of 600 students taking computer,mathematics or physics,there is no student taking both computer and mathematics....Asked by Seble
Out of a group of 600 students taking computer,mathematics or physics,there is no student taking both computer and mathematics.Every student takes computer or mathematics.150 takes physics and mathematics and 250 take only one of the subjects.Find 1) the number of students taking computer and physics. 2) the number of students taking physics.
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Answered by
Reiny
Have you tried with a Venn diagram
Draw 2 circles, C and M for Computer and Math, which do NOT intersect.
Draw a third circle P for Physics, which intersects the two others.
You should have two intersections, C with P and M with P.
Enter 150 into M AND P
You will now have to introduce some variables.
Use the fact that all 600 take computers OR math
and since there is no overlap, let number of students taking Math be x, then the part taking only Math is x-150
See if you can continue in this fashion
btw, good luck to the computer students that don't take math.
Draw 2 circles, C and M for Computer and Math, which do NOT intersect.
Draw a third circle P for Physics, which intersects the two others.
You should have two intersections, C with P and M with P.
Enter 150 into M AND P
You will now have to introduce some variables.
Use the fact that all 600 take computers OR math
and since there is no overlap, let number of students taking Math be x, then the part taking only Math is x-150
See if you can continue in this fashion
btw, good luck to the computer students that don't take math.
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