## Challenge:

$464 is divided among Janet, Elliot, and Sarah. Janet received \(\frac{2}{3}\) of Elliot’s money and Sara received \(\frac{2}{5}\) of Janet’s money. How much money did Janet get?

**A-** 64

**B-** 100

**C-** 160

**D-** 240

**E-** 280

### The Absolute Best Book** to ****challenge your Smart Student!**

The correct answer is C.

Let J be Janet’s money, E be Elliot’s money, and S be Sarah’s money. Therefore,

\(J + E + S = 464\)

\(J = \frac{2}{3} E → E = \frac{3}{2} J\) and \(S = \frac{2}{5} J\)

Replace the value of E and S in the first equation with their values in the second and third equations:

\(J + \frac{3}{2} J + \frac{2}{5} J = 464 → 1 \frac{19}{10} J = 464 → J = 160\)

Janet received $160!

### More math articles

- How is the CHSPE Test Scored?
- Top 10 6th Grade SBAC Math Practice Questions
- Top 10 Free Websites for ACCUPLACER Math Preparation
- Ratio, Proportion and Percentages Puzzle – Challenge 24
- How Much Does a Tesla Cost?
- What Skills Do I Need for the ACCUPLACER Math Test?
- Number Properties Puzzle – Challenge 18
- Top 10 CHSPE Math Prep Books (Our 2022 Favorite Picks)
- 7th Grade MEAP Math Worksheets: FREE & Printable
- 4 Best Printers for Teachers in 2022

## What people say about "Algebra Puzzle - Challenge 34"?

No one replied yet.