Harrison and Lara have discovered a counterfeit jewelry operation. Two workers, Choot and Wanlah, sell fake "gold" watches and "diamond" rings for a notoriously frugal mob boss. They need to gather intel and file a report on their discovery.
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.
Lara and Harrison must answer the following questions to complete their report on the counterfeit jewelry operation:
How long do the two workers sell jewelry each day?
How many counterfeit watches and rings do they sell each day?
To determine how long the two workers sell jewelry each day, we need to calculate the number of hours worked by each worker based on their wages. According to the note, Choot earns $9 per hour, while Wanlah earns $12 per hour.
Let's start by calculating Choot's working hours:
Total amount earned by Choot = $79
Hourly wage of Choot = $9
Number of hours worked by Choot = Total amount earned by Choot / Hourly wage of Choot = $79 / $9 = 8.77 (approx.)
Since Choot cannot work a fractional number of hours, we can conclude that Choot works for approximately 8 hours per day.
Next, let's calculate Wanlah's working hours:
Total amount earned by Wanlah = $92
Hourly wage of Wanlah = $12
Number of hours worked by Wanlah = Total amount earned by Wanlah / Hourly wage of Wanlah = $92 / $12 = 7.67 (approx.)
Similar to Choot, Wanlah cannot work a fractional number of hours, so we can conclude that Wanlah works for approximately 7 hours per day.
To determine the number of counterfeit watches and rings sold each day, we need to analyze the information given in the note. The note states that Choot's "gold" watches and "diamond" rings sell at a rate of 4 per hour, while Wanlah's sells at a rate of 5 per hour.
Using the number of hours calculated above, we can calculate the number of counterfeit watches and rings each worker sells each day.
Number of counterfeit watches sold by Choot = Choot's hourly selling rate * Choot's working hours = 4 watches/hour * 8 hours = 32 watches
Number of counterfeit rings sold by Choot = Choot's hourly selling rate * Choot's working hours = 4 rings/hour * 8 hours = 32 rings
Number of counterfeit watches sold by Wanlah = Wanlah's hourly selling rate * Wanlah's working hours = 5 watches/hour * 7 hours = 35 watches
Number of counterfeit rings sold by Wanlah = Wanlah's hourly selling rate * Wanlah's working hours = 5 rings/hour * 7 hours = 35 rings
In conclusion, Choot and Wanlah sell jewelry for approximately 8 hours and 7 hours per day, respectively. Choot sells approximately 32 counterfeit watches and 32 counterfeit rings each day, while Wanlah sells approximately 35 counterfeit watches and 35 counterfeit rings each day.
To answer these questions, let's analyze the information provided in the note:
- Choot is paid $6 per hour, while Wanlah is paid $5 per hour.
- Choot can sell 4 rings or 2 watches in an hour, while Wanlah can sell 6 rings or 3 watches in an hour.
- The mob boss demands a minimum of 12 watches and 30 rings to be sold every day.
Let's start by calculating how long each worker sells jewelry each day:
1. Choot's selling time:
- Since Choot can sell 4 rings or 2 watches in an hour, he needs to sell at least 30 rings (minimum required by the mob boss).
- Dividing 30 rings by 4 (rings per hour) gives us 7.5 hours. Since Choot cannot sell for a fraction of an hour, he needs to sell for at least 8 hours to meet the demand.
- Therefore, Choot sells jewelry for at least 8 hours each day.
2. Wanlah's selling time:
- Since Wanlah can sell 6 rings or 3 watches in an hour, she needs to sell at least 30 rings (minimum required by the mob boss).
- Dividing 30 rings by 6 (rings per hour) gives us 5 hours. Since Wanlah cannot sell for a fraction of an hour, she needs to sell for at least 5 hours to meet the demand.
- Therefore, Wanlah sells jewelry for at least 5 hours each day.
Now, let's calculate the number of counterfeit watches and rings each worker sells each day:
1. Choot's sales:
- Choot sells jewelry for 8 hours each day.
- Since Choot can sell 2 watches in an hour, he sells 2 watches * 8 hours = 16 watches.
- Choot also sells rings, but we cannot determine the exact number from the given information.
2. Wanlah's sales:
- Wanlah sells jewelry for 5 hours each day.
- Since Wanlah can sell 6 rings in an hour, she sells 6 rings * 5 hours = 30 rings.
- Wanlah also sells watches, but we cannot determine the exact number from the given information.
In summary, based on the given information:
- Choot sells jewelry for at least 8 hours each day and sells 16 watches (exact number of rings is unknown).
- Wanlah sells jewelry for at least 5 hours each day and sells 30 rings (exact number of watches is unknown).