Anthony Valardi, who owns a fish market, pays $2 per pound to fishermen for coho salmon. A certain fisherman certifies that the average size of the salmon in his catch of the day is 10 pounds, and that the catch numbers 100 salmon. Mr. Valardi is therefore justified in paying the fisherman $2,000 for the whole catch.
This statement is incorrect. In the given scenario, the fisherman caught 100 salmon with an average size of 10 pounds each. To calculate the total weight of the catch, we multiply the average size by the number of salmon:
Total weight = 10 pounds/salmon * 100 salmon = 1,000 pounds
Therefore, the fisherman should be paid based on the total weight of the catch, not the number of salmon. Since Mr. Valardi pays $2 per pound, the correct payment for the whole catch would be:
Payment = Total weight * Price per pound = 1,000 pounds * $2/pound = $2,000
So Mr. Valardi should pay $2,000 for the whole catch, which aligns with the given information.
To determine if Mr. Valardi is justified in paying the fisherman $2,000 for the whole catch, we can calculate the total cost of the catch based on the price per pound.
The fisherman states that the average size of the salmon in his catch is 10 pounds, and the catch numbers 100 salmon. Therefore, the total weight of the catch is:
Total weight = Average size of salmon * Number of salmon
Total weight = 10 pounds * 100 salmon
Total weight = 1000 pounds
Since Mr. Valardi pays $2 per pound for coho salmon, the total cost of the catch can be calculated as:
Total cost = Price per pound * Total weight
Total cost = $2/pound * 1000 pounds
Total cost = $2000
So, based on the fisherman's claim, Mr. Valardi would be justified in paying the fisherman $2,000 for the whole catch.