Answer the following questions. (a) 34 is what percent of 40 ? (b) 15% of 80 is what number?
The Correct Answer and Explanation is:
Answers:
(a) 34 is 85% of 40
(b) 15% of 80 is 12
Explanation:
Percentages are used to describe a part of a whole, where the whole is considered to be 100%. Let’s look at each question in detail:
(a) 34 is what percent of 40?
To find what percent one number is of another, you use the formula: Percentage=(PartWhole)×100\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
Here, the part is 34 and the whole is 40. So: (3440)×100=0.85×100=85%\left( \frac{34}{40} \right) \times 100 = 0.85 \times 100 = 85\%
This means 34 is 85% of 40.
You’re finding how much 34 represents out of 40 in terms of a percentage. This is a common way to compare values, especially in real-life situations like grades, statistics, or financial data.
(b) 15% of 80 is what number?
To find a percentage of a number, use this formula: Part=(Percent100)×Whole\text{Part} = \left( \frac{\text{Percent}}{100} \right) \times \text{Whole}
Here, the percent is 15% and the whole is 80: (15100)×80=0.15×80=12\left( \frac{15}{100} \right) \times 80 = 0.15 \times 80 = 12
So, 15% of 80 is 12.
This is useful when calculating discounts, tax, interest, or portions of a total. For example, if an item costs $80 and there’s a 15% discount, the discount amount would be $12.
In both problems, the key is understanding the relationship between the part, whole, and percent. These skills are essential in everyday math and practical life situations, such as budgeting, shopping, or data analysis.
