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!
Original price was: $16.99.$11.99Current price is: $11.99.
Satisfied 123 Students
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
Original price was: $29.99.$19.99Current price is: $19.99.
Original price was: $29.99.$14.99Current price is: $14.99.
Original price was: $29.99.$14.99Current price is: $14.99.
Satisfied 1 Students
Original price was: $24.99.$14.99Current price is: $14.99.
Satisfied 92 Students
Original price was: $24.99.$15.99Current price is: $15.99.
Satisfied 125 Students
Related to This Article
More math articles
- How to Sketch Trigonometric Graphs?
- Top 10 Tips to Create a SHSAT Math Study Plan
- 6th Grade ACT Aspire Math FREE Sample Practice Questions
- Benchmark Brilliance: How to Estimate Decimal Sums and Differences with Ease
- Which Test Should You Take: GED, TASC, or HiSET?
- 7th Grade M-STEP Math Worksheets: FREE & Printable
- 5 Best Praxis Core Math Study Guides
- Full-Length 8th Grade ACT Aspire Math Practice Test
- 4th Grade MAAP Math Worksheets: FREE & Printable
- Classifying a Conic Section (in Standard Form)
What people say about "Algebra Puzzle – Challenge 34 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.