Algebra Puzzle – Challenge 34
Are you seeking a math puzzle to tease your brain and challenge your logic? If so, then look no further!

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!
The Absolute Best Books to Ace Algebra
Related to This Article
More math articles
- 3rd Grade ILEARN Math Worksheets: FREE & Printable
- Double Digits, Double Fun: How to Solve Word Problems with Two-digit Divisors
- 3rd Grade NHSAS Math Worksheets: FREE & Printable
- Best Office Chairs For Online Teachers
- How to Show the Relation in the Coordinate Plane
- 5 Best Desks for Online Math Teachers in 2026
- How to Find the Surface Area of Pyramid?
- 7th Grade ACT Aspire Math FREE Sample Practice Questions
- 8th Grade Scantron Math Worksheets: FREE & Printable
- 3rd Grade M-STEP Math Worksheets: FREE & Printable
What people say about "Algebra Puzzle – Challenge 34 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.