Question

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

Answer 1

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**.