Question

On a fishing trip, Jon caught 24 trout and bass. The total weight of his catch was 137 pounds. The average weight of a trout was 2.5 pounds and the average weight of a bass was 8 pounds. Write a system of equations that can be used to find t, the number of trout, and b, the number of bass that Jon caught.

Answer 1

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).

Step-by-step 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).