Solve this problem, and identify the percent, amount, and base. What percent of 50 is 20 ? Percent =40, Amount =20, Base =50 Percent =40, Amount =50, Base =20 Percent =50, Amount =10, Base =20 Percent =20, Amount =10, Base =50
The Correct Answer and Explanation is :
To solve the problem “What percent of 50 is 20?” we use the percent formula:
[
\text{Percent} = \left( \frac{\text{Amount}}{\text{Base}} \right) \times 100
]
Here:
- The Amount is 20 (the part we are considering).
- The Base is 50 (the whole or total value).
- The Percent is what we need to determine.
Substituting the values:
[
\text{Percent} = \left( \frac{20}{50} \right) \times 100
]
[
= 0.4 \times 100
]
[
= 40\%
]
Thus, the correct answer is:
Percent = 40, Amount = 20, Base = 50.
Explanation:
- Understanding Percentages
A percentage represents a part per hundred. When we ask, “What percent of 50 is 20?” we are essentially determining how large 20 is in relation to 50, expressed as a percentage. - Identifying the Parts
- The Base is the original whole number (50).
- The Amount is the portion being considered (20).
- The Percent tells us how large the amount is in relation to the base.
- Solving Using the Formula
- The formula (Amount ÷ Base) × 100 finds the percentage.
- By substituting values: (20 ÷ 50) × 100 = 40%
- This means that 20 is 40% of 50.
- Avoiding Common Mistakes
- Some might mistakenly swap the base and amount. The base is the “whole” from which we take a percentage.
- Another common mistake is forgetting to multiply by 100 after division.
Thus, the correct choice is: Percent = 40, Amount = 20, Base = 50.
Now, I will generate an image to visually represent this concept.
Here is the infographic illustrating the percentage calculation. It visually represents how 20 is 40% of 50. Let me know if you need any modifications or further explanation!