Multiple choice

Passage

Directions: Read the following data carefully and answer the question. The table below shows the total number of students who enrolled in five finance courses in a Business Management School from 2015 to 2019. Note: Some data is missing in the following table, and a, b, c, x, y and z are also some missing values. Courses 2015 2016 2017 2018 2019 Accounting, Finance & Economics 120 - 150 160 - Marketing & Accounting x 140 - 150 a Supply Chain Management 140 - 150 160 - Finance Risk Management - b 155 160 y Entrepreneurship in Applied Technologies c 125 150 z 160

The total number of students who enrolled in Marketing & Accounting in 2017 is equal to the average of the total number of students who enrolled in the same course in 2015 and 2019 together. The number of students who enrolled in Marketing & Accounting in 2019 is 35/32 of the number of students who enrolled in the same course in 2015. The total number of students who enrolled in Marketing & Accounting from 2015 to 2019 in the Business Management School is 692. Then the number of students who enrolled in Marketing & Accounting in 2017 is what percent of the number of students who enrolled in the same course in 2016?

  1. 95.71%

  2. 85.50%

  3. 90.20%

  4. 82.72%

  5. 80.21%
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A Correct answer
Explanation

Let M(y) be Marketing & Accounting in year y. M(2017) = (M(2015) + M(2019))/2. M(2019) = (35/32) * M(2015). Total = M(2015) + 140 + M(2017) + 150 + M(2019) = 692. Substituting M(2017) and M(2019) in terms of M(2015): M(2015) + 140 + (M(2015) + (35/32)M(2015))/2 + 150 + (35/32)M(2015) = 692. Solving for M(2015) gives 128. Then M(2017) = (128 + 140)/2 = 134. M(2016) = 140. Percentage = (134/140) * 100 = 95.71%.

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