Harrison and Lara have discovered a counterfeit jewelry operation. Two workers, Jay and Sara, 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.

Question

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?

Answer 1

To understand how long the workers sell jewelry each day, we need to analyze the information provided in the note.

Let's start with Jay. We know that Jay makes $40 per hour and earns $72 each day. To calculate how many hours Jay works, we divide his total earnings ($72) by his hourly wage ($40): 72 ÷ 40 = 1.8 hours.

Now let's move on to Sara. We know that Sara makes $25 per hour and earns $70 each day. To calculate how many hours Sara works, we divide her total earnings ($70) by her hourly wage ($25): 70 ÷ 25 = 2.8 hours.

Therefore, Jay works for approximately 1.8 hours each day, and Sara works for approximately 2.8 hours each day.

To determine the number of counterfeit watches and rings they sell each day, we need to analyze the information provided in the table.

According to the table, for every hour Jay works, he sells 6 watches. Since Jay works for approximately 1.8 hours each day, he sells 6 x 1.8 = 10.8 watches each day. However, since watches cannot be sold in decimals, we can assume he sells 10 watches each day.

Similarly, according to the table, for every hour Sara works, she sells 4 rings. Since Sara works for approximately 2.8 hours each day, she sells 4 x 2.8 = 11.2 rings each day. Again, assuming rings cannot be sold in decimals, we can assume she sells 11 rings each day.

Therefore, Jay and Sara sell a total of 10 watches and 11 rings each day as part of the counterfeit jewelry operation.