Solving a Word Problem about the Recommended Daily Amount of Sodium in Cereal
Apply the seven-step problem-solving strategy to a percent application involving finding an unknown base with a single-digit percentage.
Problem: One serving of wheat square cereal has mg of sodium, which is of the recommended daily amount. What is the total recommended daily amount of sodium?
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Identify what to find: the total recommended daily amount of sodium.
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Name the unknown: Let = the total recommended daily amount of sodium.
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Translate into a percent sentence followed by an equation: " mg is of the total amount" becomes:
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Solve the equation by isolating the variable. Divide both sides by the single-digit percentage converted to a decimal ():
Performing the division gives:
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Check: Is of 2{,}375 equal to ? ✓
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Answer: The total recommended daily amount of sodium is 2{,}375 mg.
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As a health and safety coordinator at a manufacturing plant, you are reviewing nutritional information for the employee cafeteria. A label for a wheat square cereal states that one serving contains 190 mg of sodium, which is 8% of the total recommended daily amount. According to the standard problem-solving strategy for percent applications, what is the total recommended daily amount of sodium?
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