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2 votes
6

PO
2. In school of 900 studonts, it was
found that 600 students participate
in singing 500 students
in dancing and 125
do not participate
in both the activities.
participate​

User Sbtourist
by
8.3k points

1 Answer

7 votes

Answer:


B = 325

Explanation:

Given

Total = 900

Singing = 600

Dancing = 500

None = 125

Required

Determine the number of students that participate in both

Representing; Singing with S, Dancing with D, Both singing and dancing with B and None with N;

In Set Notation;


Total = (S - B) + (D - B) + N + B

Substitute 900 for Total, 600 for S, 500 for D and 125 for N


900 = (600 - B) + (500 - B) + 125

Open Brackets


900 = 600 - B + 500 - B + 125 + B

Collect Like Terms


900 = 600 + 500 + 125 - B - B + B


900 = 1225- B - B + B


900 = 1225- B

Collect Like Terms


900 - 1225 = -B


-325 = -B

Multiply both sides by -1


-1 * -325 = -B * -1


325 = B

Reorder


B = 325

Hence, the number of students that do not participate in both is 325

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