The Recommended Daily Allowance (RDA) of calcium for teenagers is 1200 milligrams. One day, Tina determined that she consumed 1500 milligrams of calcium. What percent of RDA did Ti... The Recommended Daily Allowance (RDA) of calcium for teenagers is 1200 milligrams. One day, Tina determined that she consumed 1500 milligrams of calcium. What percent of RDA did Tina consume?
Understand the Problem
The question is asking for the percentage of the Recommended Daily Allowance (RDA) of calcium that Tina consumed compared to the recommended amount for teenagers. Specifically, if the RDA is 1200 milligrams and Tina consumed 1500 milligrams, we need to calculate what percent 1500 milligrams is of 1200 milligrams.
Answer
Tina consumed $125\%$ of the RDA.
Answer for screen readers
Tina consumed $125%$ of the Recommended Daily Allowance (RDA) of calcium.
Steps to Solve
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Set up the equation To find the percentage $p$ of the Recommended Daily Allowance (RDA) that Tina consumed, we can set up the equation based on the information provided. The equation is: $$ p \times 1200 = 1500 $$
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Solve for $p$ To isolate $p$, divide both sides of the equation by 1200: $$ p = \frac{1500}{1200} $$
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Calculate the percentage Now, calculate the value: $$ p = \frac{1500}{1200} = 1.25 $$
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Convert the decimal to a percentage To convert the decimal to a percentage, multiply by 100: $$ p = 1.25 \times 100 = 125% $$
Tina consumed $125%$ of the Recommended Daily Allowance (RDA) of calcium.
More Information
Tina exceeded the RDA by 25%, meaning she consumed more than the recommended amount for her age group. This can indicate either a very healthy diet or a need to monitor calcium intake to avoid overconsumption.
Tips
- Forgetting to convert the decimal into a percentage by multiplying by 100.
- Not isolating $p$ correctly in the equation, leading to incorrect calculations.
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