Click HERE to view the 2022-2023 Community Report

K-12 Categories

Illuminations: Equations to Solve in Your Head

Equations to solve in your head:

6,751x + 3,249y = 26,751

3,249x + 6,751y = 23,249

Is this a joke? Not if you can multiply the first equation by 6,751 and the second by 3,249 in your head, and not if you use a second, simpler method.

Puzzle provided by Kordemsky: The Moscow Puzzles (Dover)


Math Topics
Algebra & Pre-Algebra
Middle School, High School
8th Grade, 9th Grade, 10th Grade, 11th Grade, 12th Grade
Descriptions of PDFs

Problem and solution

What are you looking for?

Organization

National Council of Teachers of Mathematics

Website URL

Type of Resource

Activity Sheet
PDF File

Assigned Categories

Resource k12

Illuminations: Equations to Solve in Your Head

Equations to solve in your head:

6,751x + 3,249y = 26,751

3,249x + 6,751y = 23,249

Is this a joke? Not if you can multiply the first equation by 6,751 and the second by 3,249 in your head, and not if you use a second, simpler method.

Puzzle provided by Kordemsky: The Moscow Puzzles (Dover)


Math Topics
Algebra & Pre-Algebra
Middle School, High School
8th Grade, 9th Grade, 10th Grade, 11th Grade, 12th Grade
Descriptions of PDFs

Problem and solution

What are you looking for?

Organization

National Council of Teachers of Mathematics

Website URL

Type of Resource

Activity Sheet
PDF File

Assigned Categories