Answer :
The combined cost of 1 pound of salmon and 1 pound of trout is $16.60
What is equation?
Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign.
The expression on the left and the expression on the right are shown to be equal in reference to one another.
Let x be the cost per pound of salmon and y be the cost per pound of trout.
Melissa buys 212 pounds of salmon and 114 pounds of trout. She pays a total of $31.25
2.5 × x + 1.25× y = $31.25
2.5x + 1.25y = 31.25
The trout costs $0.20 per pound less than the salmon.
y = x - 0.20
hence
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 + 0.2
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 trout be represented by y = $8.2
The cost of a pound of salmon and trout is:
= $8.4 + $8.2
= $16.60
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