Finding the Total Recommended Daily Amount of Potassium
Apply the seven-step problem-solving strategy to a percent application in which the base (the whole) is the unknown.
Problem: One serving of breakfast cereal provides mg of potassium, which is of the recommended daily amount. What is the total recommended daily amount of potassium?
- Identify what to find: the total recommended daily amount of potassium.
- Name the unknown: Let = the total amount of potassium recommended daily.
- Translate into a percent sentence and equation: " mg is of the total amount" becomes
- Solve by dividing both sides by :
- Check — is a small percent, and is indeed a small portion of , so the answer is reasonable.
- Answer: The total recommended daily amount of potassium is mg.
This problem is a "find the base" percent equation. After translation the variable is multiplied by the decimal coefficient , so dividing both sides by that coefficient — using the Division Property of Equality — isolates the unknown and reveals the whole amount.
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