Of the 400 employees in a certain company, 25 percent will be relocated to City X and the remaining ...
Of the 400 employees in a certain company, 25 percent will be relocated to City X and the remaining 75 percent will be relocated to City Y. However, 40 percent of the employees prefer City Y and 60 percent prefer City X. What is the highest possible number of employees who will be relocated to the city they prefer?
Answer/Solution
260
Steps/Work
240 prefer X (Group 1);
160 prefer Y (Group 2).
City Y needs 300 people: letall 160 who prefer Y (entire Group 2) be relocated there, the rest 140 will be those who prefer X from Group 1;
City X needs 100 people: 240-140=100 from Group 1 will be relocated to X, which they prefer.
So, the highest possible number of employees who will be relocated to the city they prefer is 160+100=260.
Answer: E.
160 prefer Y (Group 2).
City Y needs 300 people: letall 160 who prefer Y (entire Group 2) be relocated there, the rest 140 will be those who prefer X from Group 1;
City X needs 100 people: 240-140=100 from Group 1 will be relocated to X, which they prefer.
So, the highest possible number of employees who will be relocated to the city they prefer is 160+100=260.
Answer: E.