Question

Melissa buys 212 pounds of salmon and 114 pounds of trout. She pays a total of $31.25, and the trout costs $0.20 per pound less than the salmon. What would be the combined cost of 1 pound of salmon and 1 pound of trout?

Option a: $15.60
Option b: $15.80
Option c: $16.60
Option d: $16.80

Answer 1

The combined cost of 1 pound of salmon and 1 pound of trout is $0.70.

Step-by-step explanation:

Let x be the cost per pound of salmon. The cost of trout per pound is x - 0.20 since the trout costs $0.20 less than the salmon.

The total cost is given by the equation 212x + 114(x - 0.20) = 31.25. Solve this equation to find the value of x.

After finding x, the combined cost of 1 pound of salmon and 1 pound of trout is 2x - 0.20. Substitute the value of x to get the final answer

In summary, the combined cost of 1 pound of salmon and 1 pound of trout is $0.70, calculated by solving the given system of equations and evaluating the expression for the combined cost.