After the withdrawal of volunteers, as indicated in Question 89, some new volunteers joined the NGO. Each one of them was allotted only one project in a manner such that, the number of volunteers working in one project alone for each of the three projects became identical. At that point, it was also found that the number of volunteers involved in FR and ER projects was the same as the number of volunteers involved in TR and ER projects. Which of the projects now has the highest number of volunteers?
Explanation:
Let m volunteers be added to TR project and n be added to each of FR and ER projects.
Then, 7 + m = 8 + n
∴ m = n + 1
Also, b + 2 = 5
∴ b = 3 and a = 3
Number of volunteers working on TR = 7 + n + 1 + 4 + 5 = 17 + n
Number of volunteers working on FR = 17 + n
Number of volunteers working on ER = 18 + n
Thus, ER has the highest number of volunteers.
Hence, option (a).
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