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?

Answer 1

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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