https://r2.erweima.ai/mathbot/image/172649364578744a2cg14.jpg

Let's break down and solve this step by step:

### Given:
- Kek inherits **33 ⅓%** of her uncle's estate.
- The estate is worth **$420,000**.
- She needs to pay **15%** of her inheritance in tax.

### Part (a): **What percentage did she actually inherit after the tax is paid?**

To determine the percentage of the inheritance Kek receives **after** paying taxes:
1. Kek is supposed to receive **33 ⅓%** of the estate, but she will pay **15%** tax on this amount.
2. After paying the tax, she will keep **(100% - 15%) = 85%** of her inheritance.

So, Kek inherits **85%** of **33 ⅓%** of the estate.

### Part (b): **How much did she actually inherit?**

1. **First, calculate how much Kek inherits before taxes:**
   \[
   \text{Amount before tax} = 33 \frac{1}{3}\% \times 420,000
   \]
   Converting **33 ⅓%** to a decimal:
   \[
   33 \frac{1}{3}\% = \frac{100}{3} = 0.3333
   \]
   Now calculate the inheritance:
   \[
   \text{Amount before tax} = 0.3333 \times 420,000 = 140,000
   \]
   So, Kek's inheritance before taxes is **$140,000**.

2. **Now, calculate the amount she keeps after paying the tax:**
   She pays **15%** in tax, so she keeps **85%** of the amount:
   \[
   \text{Amount after tax} = 85\% \times 140,000 = 0.85 \times 140,000 = 119,000
   \]

So, Kek actually inherits **$119,000** after taxes.

---

Would you like more details or clarification on any of the steps?

Here are 5 additional related questions:
1. If the estate had been $500,000, how much would Kek have inherited after taxes?
2. How much tax did Kek pay in this scenario?
3. What percentage of the entire estate did Kek inherit after taxes?
4. If the tax rate was 20%, how much would Kek have inherited?
5. What percentage of the estate did Kek inherit before paying taxes?

**Tip:** When working with percentages, always remember to convert them into decimals by dividing by 100 before using them in calculations.

Kek inherited 33 1/3% of her uncle's estate of $420,000. However, she needs to pay 15% of her inheritance in tax. a) What percentage did she actually inherit after the tax is paid? b) How much did she actually inherit?

Calculate the amount Kek actually inherited after paying a 15% tax on 33 1/3% of her uncle's $420,000 estate. This problem involves percentage and tax calculations suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation