Algebra Puzzle – Challenge 34
Are you seeking a math puzzle to tease your brain and challenge your logic? If so, then look no further!
[include_netrun_products_block from-products="product/ged-math-test-prep-in-30-days-complete-study-guide-and-test-tutor-for-ged-mathematics-the-ultimate-book-for-beginners-and-pros-two-practice-tests/" product-list-class="bundle-products float-left" product-item-class="float-left" product-item-image-container-class="p-0 float-left" product-item-image-container-size="col-2" product-item-image-container-custom-style="" product-item-container-size="" product-item-add-to-cart-class="btn-accent btn-purchase-ajax" product-item-button-custom-url="{url}/?ajax-add-to-cart={id}" product-item-button-custom-url-if-not-salable="{productUrl} product-item-container-class="" product-item-element-order="image,title,purchase,price" product-item-title-size="" product-item-title-wrapper-size="col-10" product-item-title-tag="h3" product-item-title-class="mt-0" product-item-title-wrapper-class="float-left pr-0" product-item-price-size="" product-item-purchase-size="" product-item-purchase-wrapper-size="" product-item-price-wrapper-class="pr-0 float-left" product-item-price-wrapper-size="col-10" product-item-read-more-text="" product-item-add-to-cart-text="" product-item-add-to-cart-custom-attribute="title='Purchase this book with single click'" product-item-thumbnail-size="290-380" show-details="false" show-excerpt="false" paginate="false" lazy-load="true"]
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
- What Level of Maths Is Tested on the PSAT/NMSQT®?
- The Ultimate 6th Grade OSTP Math Course (+FREE Worksheets)
- How to Graph Quadratic Functions? (+FREE Worksheet!)
- How to Write a Point-slope Form Equation from a Graph?
- How to Evaluate Two Variables? (+FREE Worksheet!)
- 3rd Grade PSSA Math Worksheets: FREE & Printable
- Cooking with Fractions: A Guide to Learn How to Adding and Subtracting Fractions in Recipes
- Overview of Middle-Level SSAT Mathematics Test
- Best Graphing Calculators for High School Students
- AFOQT Math FREE Sample Practice Questions
What people say about "Algebra Puzzle – Challenge 34 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.