... talks to 50 customers per day. With a sales ratio of 1:9, on which day will Paige qualify for a bonus?
Responses (1)
Paige sells to 1 out of 9 customers she talks to. And she needs to sell to 17 more customers to receive a bonus.
Question 1 :
How many customers x does she have to talk to? Translation into mathematese:
(1/9) * x = 17
x = 9 * 17
She needs 153 more customers to talk to.
Question 2 :
How many days d will it take her to get the bonus, given that she talks to 50 customers a day?
d = 153 / 50 = 3.06
In a hypothetical universe, where the law of large numbers* does not apply, it would take her 3.06 working days to get the bonus.
(Assuming her part time job means 4 hours a day, this amounts to:
3 days = 12 hours +
0.06 * 4 hours = 0.24 hours = 0.24 * 60 minutes = 14.4 minutes = 14 minutes +
0.4 * 60 seconds = 24 seconds.
So, she'd better set her stopwatch to count down from
12:14:24
Just kidding ;)
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*) The law of large numbers is a principle of probability according to which the frequencies of events with the same likelihood of occurrence even out, given enough trials or instances. As the number of experiments increases, the actual ratio of outcomes will converge on the theoretical, or expected, ratio of outcomes.
Paige will qualify for a bonus on the 4th day.