### Problem Statement:Jim Murray and Phyllis Lowe received a total of $61,500 from a deceased relative’s estate. They decided to put $12,300 in a trust for their nephew and divide the remainder. Phyllis received $\frac{2}{3}$ of the remainder; Jim received $\frac{1}{3}$. How much did Jim and Phyllis receive?### Solution:1. **Calculate the remainder:** Total amount = $61,500 Amount placed in trust = $12,300 Remainder = $61,500 - $12,300 = $49,200 2. **Divide the remainder:** Phyllis's share $\left(\frac{2}{3}\right)$: \[\frac{2}{3} \times 49,200 = 32,800\] Jim's share $\left(\frac{1}{3}\right)$: \[\frac{1}{3} \times 49,200 = 16,400\]### Conclusion:- **Amount Received:** - **Phyllis:** $32,800 - **Jim:** $16,400 ### Table of Amounts:| Name | Amount ||--------|---------|| Jim | $16,400 || Phyllis| $32,800 |

Given query is to find the amount received by each person.

mework i Jim Phyllis Saved Amount mghmiddl... Jim Murray and Phyllis Lowe received a total of $61,500 from a deceased relative's estate. They decided to put $12,300 in a trust for their nephew and divide the remainder. Phyllis received of the remainder; Jim received. How much did Jim and Phyllis receive? Help Save

mework i Jim Phyllis Saved Amount mghmiddl... Jim Murray and Phyllis Lowe received a total of $61,500 from a deceased relative's estate. They decided to put $12,300 in a trust for their nephew and divide the remainder. Phyllis received of the remainder; Jim received. How much did Jim and Phyllis receive? Help Save

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

### Problem Statement:

Jim Murray and Phyllis Lowe received a total of $61,500 from a deceased relative’s estate. They decided to put $12,300 in a trust for their nephew and divide the remainder. Phyllis received $\frac{2}{3}$ of the remainder; Jim received $\frac{1}{3}$. How much did Jim and Phyllis receive?

### Solution:

1. **Calculate the remainder:**
Total amount = $61,500
Amount placed in trust = $12,300
Remainder = $61,500 - $12,300 = $49,200

2. **Divide the remainder:**
Phyllis's share $\left(\frac{2}{3}\right)$:
\[\frac{2}{3} \times 49,200 = 32,800\]

Jim's share $\left(\frac{1}{3}\right)$:
\[\frac{1}{3} \times 49,200 = 16,400\]

### Conclusion:

- **Amount Received:**
- **Phyllis:** $32,800
- **Jim:** $16,400

### Table of Amounts:

| Name | Amount |
|--------|---------|
| Jim | $16,400 |
| Phyllis| $32,800 |

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