To determine the number of boys in the school band based on the information that 30% of the 50 students are boys, we need to calculate 30% of 50.
30% can be expressed as a fraction: \[ 30% = \frac{30}{100} = \frac{3}{10} \]
Now, we can find 30% of 50 by multiplying: \[ \text{Number of boys} = 50 \times \frac{30}{100} = 50 \times 0.30 = 15 \]
So, there are 15 boys in the school band.
Now, let's analyze Felicia's approach: She wrote: \[ \frac{\text{part}}{\text{whole}} = \frac{30 \times 2}{100 \times 2} = \frac{60}{200} \]
This appears to be a method attempting to use a proportion, but it is not clear or applicable in this context. The incorrect part of her method seems to be applying multiplication by 2 without justification or context.
Ultimately, Felicia's answer is incorrect if she thought 60 boys were in the band; the correct calculation of 30% of 50 yields 15 boys. Therefore, her interpretation doesn't yield a correct answer to the problem posed.
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