Each kilogram of shrimp costs $13.56.
Further Explanation
This problem can be solved using ratios and proportion. It can be solved using an equation with one variable.
STEP 1: Sort the given.
To solve, first we must sort the given in the problem:
cost of 3 kg of shrimp = $40.68
STEP 2: Represent unknown as variable.
If we let x be the cost of one kilogram of shrimp, we can represent the given above using the equation below:
\(\boxed {3x = 40.68}\)
STEP 3: Solve for the variable.
Then we solve for x to get the price per kilogram. To do this, we divide both sides of the equation by 3 to cancel the coefficient of x:
\(3x = 40.68\\\frac{3x}{3} = \frac{40.68}{3}\\\boxed {x = 13.56}\)
Therefore, the price of one kilogram of shrimp is $13.56.
STEP 4: Check answer.
To check if the answer is correct, we substitute the value of x into the equation and see if we get the price of 3 kilograms of shrimp:
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Therefore, our answer that one kilogram of shrimp costs $13.56 is correct.
Learn More
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Keywords: ratio, proportion, variable, equation
