After finding the fish you would like to take home to cook, you discover it cost $2 to wrap the fish and $4.50 per pound. Another vendor is selling another fish for a flat rate of $5 per pound. Set up an equation to determine how many pounds of fish would result in the same cost. Then, solve the equation.

Question

16-09-2022
Mathematics

Answered

After finding the fish you would like to take home to cook, you discover it cost $2 to wrap the fish and $4.50 per pound. Another vendor is selling another fish for a flat rate of $5 per pound. Set up an equation to determine how many pounds of fish would result in the same cost. Then, solve the equation.

Answer :

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driftecook driftecook · Answer 1 · 2022-09-16T11:25:48-04:00

Answer is x = 4# fish

Equation: 2 + 4.50x = 5x

Step by step

We know one vendor charges $2 + $4.50/#
We know one vendor charges $5/#

X = unknown # pound

Our equation will be separated by = sign because we are looking for when the price will equal

2 + 4.50x = 5x

Subtract 4.50x from both sides to isolate the variable

2 = .50x

Divide both sides by .50 to solve for x

X = 4 # fish

Substitute your x value (4) for x in your equation

4.50x4 + 2 = 5x4

20 = 20

They equal, problem solved!