Question

Melissa buys 2.5 pounds of salmon and 1.25 pounds of swordfish. She pays a total of $31.25. The swordfish costs $0.20 per pound less than the salmon. What would be the combined cost of 1 pound of salmon and 1 pound of swordfish?

Answer 1

Answer:

The combined cost of 1 pound of salmon and 1 pound of swordfish is $16.60

Step-by-step explanation:

Let $x be the cost of 1 pound of salmon.

The swordfish costs $0.20 per pound less than the salmon, then $(x-0.20) is the cost of 1 pound of swordfish.

Melissa buys 2.5 pounds of salmon and pays $2.5x for salmon.

Melissa buys 1.25 pounds of swordfish and pays $1.25(x-0.20) for swordfish.

She pays a total of $31.25, then

$2.5x+1.25(x-0.20)=31.25$

Solve this equation.

$2.5x+1.25x-0.25=31.25\\ \\2.5x+1.25x=31.25+0.25\\ \\3.75x=31.50\\ \\375x=3,150\\ \\x=\dfrac{3,150}{375}\\ \\x=8.4$

Costs:

1 pound of salmon - $8.40

1 pound of swordfish - $8.20

Combined - $16.60