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10% of the 70 students in the school orchestra are performing a solo at the spring concert. How many students are performing a solo?

Question

10% of the 70 students in the school orchestra are performing a solo at the spring concert. How many students are performing a solo?

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Solution

1. Break Down the Problem

To find out how many students are performing a solo, we need to calculate 10% of the 70 students in the orchestra.

2. Relevant Concepts

To calculate a percentage, we use the formula: Percentage=(PartWhole)×100 \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 In this case, we want to find the part, which is 10% of the whole (70 students).

3. Analysis and Detail

We can express 10% as a decimal: 10%=0.10 10\% = 0.10 Now, we can multiply this by the total number of students to find the number of students performing a solo: Students performing a solo=0.10×70 \text{Students performing a solo} = 0.10 \times 70

4. Verify and Summarize

Calculating the number gives us: 0.10×70=7 0.10 \times 70 = 7 Thus, 7 students are performing a solo at the spring concert.

Final Answer

7 students are performing a solo at the spring concert.

This problem has been solved

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