Page 73 - Mathematics of Business and Finance

Chapter 1 | Review of Basic Arithmetic 53

ORDER OF OPERATIONS (BEDMAS) AVERAGES

19. Evaluate the following: 25. The average age of six employees is 35 years. The ages
a. 16 ÷ 4 × 2 – (7 – 5) 2 of five of the six employees are 28, 32, 40, 38, and 27.
Calculate the age of the sixth employee.
3
b. (2 – 3) – 5 × 20 ÷ (3 – 2)
3
2
26. The average monthly salary of five employees is
20. Evaluate the following: $4500. Four of the employees' monthly salaries
3
2
a. (5 + 4) – 4 ÷ 8 + 3 are $4230, $3730, $3970, and $5420. Calculate the
2
3
b. (6 × 3 – 8) ÷ (2 × 5 – 3 × 5) monthly salary of the fifth employee.
21. Evaluate the following and round the final answer to 27. The average mark of fourteen students in a class was
two decimal places: 75%. Another student took a make-up test and the
a. 80,000(1 + 0.0375) –24 class average decreased by 1%. What was the mark of
250[(1.0025) 120 – 1] the fifteenth student?
b. 0.0025
28. In a survey, ten people were found to have an average
22. Evaluate the following and round the final answer to weight of 72 kg. When another person joined the
two decimal places: survey, the average weight of the eleven people
a. 150,000(1 + 0.0575) –9 decreased by 2 kg. Calculate the weight of the eleventh
48
800[(1.005) – 1] person.
b. 0.005 29. In a company, 15 employees are paid $16 per hour, 11
employees are paid $22 per hour, and 14 employees
23. Evaluate the following and round the final answer to are paid $25 per hour. Calculate the weighted average
two decimal places: hourly rate of the employees rounded to the nearest
cent.
49
a. 2 100 + √0.16 + 16 30. A store sold 20 shirts at $20 each, 35 shirts at $25
25
25
21
b. 1 100 + √0.25 + 36 each, and 40 shirts at $30 each. Calculate the weighted
average selling price per shirt.
24. Evaluate the following and round the final answer to
two decimal places:
8
a. √49 + (0.4 × 6 ÷ 1.2) 2
2
4 2
12.5
2
b. √81 + (0.3 × 5 ÷ 1.5) 2
5 2