Algebra Puzzle – Challenge 34
Looking for 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!
Reza is an experienced Math instructor and a test-prep expert who has been tutoring students since 2008. He has helped many students raise their standardized test scores--and attend the colleges of their dreams. He works with students individually and in group settings, he tutors both live and online Math courses and the Math portion of standardized tests. He provides an individualized custom learning plan and the personalized attention that makes a difference in how students view math.
Related to This Article
More math articles
- How to Solve Measurement Word Problems
- 6th Grade NSCAS Math Worksheets: FREE & Printable
- How to Solve Word Problems of Absolute Value and Integers?
- 10 Most Common 5th Grade MAP Math Questions
- How to Find Complementary, Supplementary, Vertical, Adjacent, and Congruent Angles?
- 5th Grade MCA Math Worksheets: FREE & Printable
- What is a Good PSAT Score?
- How to Define Elapsed Time
- The Ultimate 6th Grade TNReady Math Course (+FREE Worksheets)
- 4th Grade SOL 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.