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Melissa buys 2 1/2 pounds of salmon and 1 1/4 pounds of swordfish. She pays a total of $31.25, and 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? A. $15.60 B. $15.80 C. $16.60 D. $16.80

Respuesta :

adioabiola

We are required to find the cost of 1 pound of salmon and 1 pound of swordfish

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

let

cost of a pound swordfish = x

cost of a pound salmon = y

x = y - 0.20. (1)

2.5y + 1.25x = 31.25. (2)

Substitute x = y - 0.20 into (2)

2.5y + 1.25x = 31.25

2.5y + 1.25(y - 0.20) = 31.25

2.5y + 1.25y - 0.25 = 31.25

2.5y + 1.25y = 31.25 + 0.25

3.75y = 31.5

y = 31.5 / 3.75

y = 8.4

Recall,

x = y - 0.20. (1)

x = 8.4 - 0.20

x = 8.2

Therefore, the cost of a pound swordfish, x is $8.2 and cost of a pound salmon, y is $8.4

Total cost of 1 pound of salmon and 1 pound of swordfish = $8.4 + $8.2

= $16.6

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