Explain how to use friendly percents to find 35% of 80.

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To use friendly percents to find 35% of 80, you can break down the percentage into parts that are easier to work with. Here's how to do it step-by-step:

  1. Break Down 35%: Recognize that 35% can be separated into 30% and 5%. So, 35% of 80 can be expressed as: \[ 35% \text{ of } 80 = 30% \text{ of } 80 + 5% \text{ of } 80 \]

  2. Calculate 30% of 80: To find 30% of 80, you can simply find 10% of 80 and then multiply that by 3:

    • First, calculate 10% of 80: \[ 10% \text{ of } 80 = \frac{80}{10} = 8 \]
    • Now multiply this by 3 to get 30%: \[ 30% \text{ of } 80 = 3 \times 8 = 24 \]
  3. Calculate 5% of 80: Similarly, find 5% of 80 by taking half of 10%:

    • Since we already know 10% of 80 is 8, then: \[ 5% \text{ of } 80 = \frac{8}{2} = 4 \]
  4. Add the Two Parts Together: Now, add 30% and 5% of 80 together: \[ 35% \text{ of } 80 = 30% \text{ of } 80 + 5% \text{ of } 80 = 24 + 4 = 28 \]

Therefore, 35% of 80 is 28.

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