The adventurers learn that the mob boss demands a minimum of 12 watches and 30 rings to be sold every day, and has figured out how to get what he wants while paying his two workers the least possible amount (while still honouring their agreed-upon hourly wages). While Lara and Harrison can't tell how many hours each worker spends selling the jewelry, or how many items they actually sell each day, they did learn something about the workers' wages and how efficiently they both work. They wrote down this information in the note that you can read in the image.
How long do the two workers sell jewelry each day?
How many counterfeit watches and rings do they sell each day?
Based on the note, we can find out the information about the workers' wages and efficiency.
Worker 1:
- Receives $7 per hour.
- Sells 3 watches and 4 rings per hour.
Worker 2:
- Earns $8 per hour.
- Sells 5 watches and 2 rings per hour.
To find out how long each worker sells jewelry each day, we need to divide the total number of watches and rings demanded by the number of items sold per hour.
For Worker 1:
Number of watches demanded per day = 12
Number of rings demanded per day = 30
Number of watches sold per hour = 3
Number of rings sold per hour = 4
Number of hours Worker 1 sells jewelry each day = (Number of watches demanded per day) / (Number of watches sold per hour) = 12 / 3 = 4 hours
Number of hours Worker 1 sells jewelry each day = (Number of rings demanded per day) / (Number of rings sold per hour) = 30 / 4 = 7.5 hours
Since the workers cannot sell for fractional hours, we can round up Worker 1's selling time to the next whole number.
Worker 1 sells jewelry for 5 hours each day.
For Worker 2:
Number of watches demanded per day = 12
Number of rings demanded per day = 30
Number of watches sold per hour = 5
Number of rings sold per hour = 2
Number of hours Worker 2 sells jewelry each day = (Number of watches demanded per day) / (Number of watches sold per hour) = 12 / 5 = 2.4 hours
Number of hours Worker 2 sells jewelry each day = (Number of rings demanded per day) / (Number of rings sold per hour) = 30 / 2 = 15 hours
Similarly, Worker 2's selling time needs to be rounded up to the next whole number.
Worker 2 sells jewelry for 3 hours each day.
Therefore, the two workers sell jewelry for 5 hours and 3 hours each day, respectively.
Now let's find out how many counterfeit watches and rings they sell each day.
Worker 1 sells 3 watches per hour and works for 5 hours each day.
Number of watches sold by Worker 1 per day = (Number of watches sold per hour) * (Number of hours worked per day) = 3 * 5 = 15 watches
Worker 1 sells 4 rings per hour and works for 5 hours each day.
Number of rings sold by Worker 1 per day = (Number of rings sold per hour) * (Number of hours worked per day) = 4 * 5 = 20 rings
Worker 2 sells 5 watches per hour and works for 3 hours each day.
Number of watches sold by Worker 2 per day = (Number of watches sold per hour) * (Number of hours worked per day) = 5 * 3 = 15 watches
Worker 2 sells 2 rings per hour and works for 3 hours each day.
Number of rings sold by Worker 2 per day = (Number of rings sold per hour) * (Number of hours worked per day) = 2 * 3 = 6 rings
Therefore, Worker 1 sells a total of 15 watches and 20 rings per day, while Worker 2 sells a total of 15 watches and 6 rings per day.