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Answer :
Final answer:
To determine the number of trout and bass Jon caught, we use two equations: t + b = 24 for the total number of fish, and 2.5t + 8b = 137 for the total weight. These equations can be solved simultaneously to find the values for t (trout) and b (bass).
Explanation:
The student's question relates to creating a system of equations to determine the number of trout (t) and bass (b) Jon caught on his fishing trip. Jon caught a total of 24 fish (trout and bass), and the total weight of his catch was 137 pounds. Given the average weight of a trout is 2.5 pounds and the average weight for a bass is 8 pounds, we can write two equations.
First, the equation for the number of fish caught:
t + b = 24
Second, the equation for the total weight of the catch:
2.5t + 8b = 137
These two equations can be used to solve for the values of t (trout) and b (bass).
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