Algebra Puzzle – Challenge 34

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!

Related to "Algebra Puzzle – Challenge 34"

Other Topics Puzzle – Challenge 100
Other Topics Puzzle – Challenge 100
Other Topics Puzzle – Challenge 99
Other Topics Puzzle – Challenge 99
Other Topics Puzzle – Challenge 98
Other Topics Puzzle – Challenge 98
Other Topics Puzzle – Challenge 97
Other Topics Puzzle – Challenge 97
Other Topics Puzzle – Challenge 96
Other Topics Puzzle – Challenge 96
Other Topics Puzzle – Challenge 95
Other Topics Puzzle – Challenge 95
Other Topics Puzzle – Challenge 94
Other Topics Puzzle – Challenge 94
Intelligent Math Puzzle – Challenge 93
Intelligent Math Puzzle – Challenge 93
Intelligent Math Puzzle – Challenge 92
Intelligent Math Puzzle – Challenge 92
Intelligent Math Puzzle – Challenge 91
Intelligent Math Puzzle – Challenge 91

Leave a Reply

Your email address will not be published. Required fields are marked *

How Does It Work?

Find Books

1. Find eBooks

Locate the eBook you wish to purchase by searching for the test or title.

add to cart

2. Add to Cart

Add the eBook to your cart.

checkout

3. Checkout

Complete the quick and easy checkout process.

download

4. Download

Immediately receive the download link and get the eBook in PDF format.

Why Buy eBook From Effortlessmath?

Save money

Save up to 70% compared to print

Instantly download

Instantly download and access your eBook

help environment

Help save the environment

Access

Lifetime access to your eBook

Test titles

Over 2,000 Test Prep titles available

Customers

Over 80,000 happy customers

Star

Over 10,000 reviews with an average rating of 4.5 out of 5

Support

24/7 support

Anywhere

Anytime, Anywhere Access

Find Your Test

Schools, tutoring centers, instructors, and parents can purchase Effortless Math eBooks individually or in bulk with a credit card or PayPal. Find out more…