SOLUTION: Let's say a store is dependent on positive surveys so their employees can receive a monthly bonus. The minimum survey score needed to earn a bonus is 50. The three categories of su

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Question 1113141: Let's say a store is dependent on positive surveys so their employees can receive a monthly bonus. The minimum survey score needed to earn a bonus is 50. The three categories of surveys are: Positives, Passives, and Detractors. Positives are worth 100 points, passives are worth 0, and detractors are worth -100 points. The score is calculated by dividing total points by total surveys.
For example, a store has 20 surveys, 8 positives (800), 6 passives (0), and 6 detractors (-600), for a total of 200 points. The score is 10.
Problem: Assume a store has 107 surveys with the following breakdown: 60 Positives, 30 Passives, and 17 detractors. The current score is 40.19. HOW MANY POSITIVES WILL THEY NEED TO REACH THE MINIMUM SCORE OF 50 SO ALL EMPLOYEES CAN EARN A BONUS?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The store has 60 positives for 6000 points and 17 detractors for -1700 points for a total of 4300. For each additional positive they get another 100 points so if they get additional positives they will have 100x additional points, but that must be divided by and the answer be at least 50. So:



Solve for and, if necessary, round UP to the next whole number, then calculate .

John

My calculator said it, I believe it, that settles it