# 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!$11.99
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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! ## Related to This Article ### More math articles ### What people say about "Algebra Puzzle - Challenge 34"? No one replied yet. X 30% OFF Limited time only! Save Over 30% SAVE$5

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