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Elizabeth has a mask collection of 420 masks. She keeps 65% of the masks on her wall. How many masks does she keep on her wall?

Question

Elizabeth's Mask Collection

Elizabeth has a mask collection of 420 masks. She keeps 65% of the masks on her wall. How many masks does she keep on her wall?

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Solution

1. Break Down the Problem

To find out how many masks Elizabeth keeps on her wall, we need to calculate 65% of her total mask collection, which is 420 masks.

2. Relevant Concepts

To calculate a percentage of a number, we can use the formula: Percentage=(Percentage Rate100)×Total Value \text{Percentage} = \left( \frac{\text{Percentage Rate}}{100} \right) \times \text{Total Value} In this case, the percentage rate is 65%.

3. Analysis and Detail

Now we can plug in the numbers: Masks on Wall=(65100)×420 \text{Masks on Wall} = \left( \frac{65}{100} \right) \times 420 Let's do the calculation: Masks on Wall=0.65×420 \text{Masks on Wall} = 0.65 \times 420 Calculating it step by step:

  • First, multiply 0.65 by 420: 0.65×420=273 0.65 \times 420 = 273

4. Verify and Summarize

We've calculated that Elizabeth keeps 273 masks on her wall.

Final Answer

Elizabeth keeps 273 masks on her wall.

This problem has been solved

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