Question

5 raymond catches 30 pounds of fish during a fishing trip. four of his friends each take n pounds of fish with them when they return to the dock. at home, raymond puts 3/5 of the remaining fish in his freezer and prepares the rest for dinner. write an algebraic expression that could be used to find the weight of fish raymond prepares for dinner.

Explanation:

Step1: Calculate fish taken by friends

Total fish taken by 4 friends: $4n$ pounds

Step2: Find remaining fish after friends

Remaining fish: $30 - 4n$

Step3: Find fraction for dinner

Fraction kept for dinner: $1 - \frac{3}{5} = \frac{2}{5}$

Step4: Calculate dinner fish weight

Multiply remaining by dinner fraction: $\frac{2}{5}(30 - 4n)$

Answer:

$\frac{2}{5}(30 - 4n)$