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charlettethomap7e9st
04.11.2020 •
Mathematics
Melissa buys 212 pounds of salmon and 114 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
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Ответ:
C. $16.60
Step-by-step explanation:
Let the cost per pound of salmon be represented by x
The cost per pound of swordfish be represented by y
Melissa buys 2 1/2 pounds of salmon and 1 1/4 pounds of swordfish. She pays a total of $31.25
2.5 × x + 1.25× y = $31.25
2.5x + 1.25y = 31.25
The swordfish costs $0.20 per pound less than the salmon.
y = x - 0.20
Hence, we substitute
2.5x + 1.25y = 31.25
2.5y + 1.25(x - 0.20) = 31.25
2.5y + 1.25x - 0.25 = 31.25
2.5x + 1.25x = 31.25 + 0.25
3.75x = 31.5
x = 31.5/3.75
x = $8.4
The cost per pound of salmon be represented by x = $8.4
y = x - 0.20
y = 8.4 - 0.20
y = $8.2
The cost per pound of swordfish be represented by y = $8.2
The cost of a pound of salmon and sword fish
= $8.4 + $8.2
=$16.60
Ответ:
answer: 5/3
step-by-step explanation: 5/3