# Joint Investment

Would you have known immediately that the number 1729 is the sum of two cubes?

You think you’re so smart, but you’re no Ramanujan. He told Hardy that 1729 is the sum of two cubes in two ways: 13+12and 93+103.

I read The Man Who Knew Infinity a few years ago. I might check out the movie when it hits a theatre near me. Like Netflix.

Also, I subjected my students to this 14-minute podcast about Hardy and Ramanujan.

One more “fair share” task for my 8th graders from Peter Liljedahl’s site because I like it and don’t want to work in the textbook as our students are taking the Smarter Balanced Tests this week.

Joint Investment

Six years ago you made an investment with a friend – you bought a house together. It wasn’t only an investment, it was also a favor. Your friend didn’t have a place to live and didn’t have enough money to buy a house. So, you pooled your money and bought a \$300,000 house for your friend to live in. You provided \$50,000 for the down payment and your friend provided \$25,000. Because of the size of the down payment it meant that the mortgage was relatively low – only \$1000 a month – which your friend paid. During the six years all property tax payment were split evenly between you as were all major renovations and upgrades. Well, it is now six years later and your friend is getting transferred to Ontario. So, you have sold the house for \$500,000 (the market has been good to you). There is still \$200,000 outstanding on the mortgage. How will you split the \$300,000 equity between you? Justify your decision.

A couple of solutions thus far:

This entry was posted in Math 8, Problem Solving and tagged , , , , . Bookmark the permalink. Post a comment or leave a trackback: Trackback URL.

1. Posted May 2, 2016 at 3:34 pm | Permalink

A simple (minded?) approach:
On the basis of the initial investment I own 2/3 of the house, he owns 1/3, the split of the 30,000 should be the same.
But he made all of the mortgage payments, 72,000, of which 2/3 was on my behalf, being 48,000.
So I refund him the 48,000 and the final split is me 152,000 and him 148,000
If I was him I’d go for it!

• Grily John
Posted June 26, 2017 at 12:59 am | Permalink

I am Investment Business Consultant for any kindly of Investment ,
my work is to provide a Investors or Loan Company for People

We want you to Partner with any of Investors or Loan Company but
we want any Profitable Business Proposal from you so that we can
link you with Investors Or Loan Film To indicate your

I look forward to your prompt response.
Regards,
Grily John
Phone:+447045740870
Email:johngrily@gmail.com

2. Grily John
Posted June 26, 2017 at 12:58 am | Permalink

I am Investment Business Consultant for any kindly of Investment ,
my work is to provide a Investors or Loan Company for People

We want you to Partner with any of Investors or Loan Company but
we want any Profitable Business Proposal from you so that we can
link you with Investors Or Loan Film To indicate your

I look forward to your prompt response.
Regards,
Grily John
Phone:+447045740870
Email:johngrily@gmail.com

This site uses Akismet to reduce spam. Learn how your comment data is processed.

• ### Get Posts by Email

• Visual Patterns
• Math Talks
• 180 Days of Math at Mesa
• Between 2 Numbers
• Math Arguments 180
• Estimation 180
• Dan Meyer's 3-Act Math Tasks
• Robert Kaplinsky Lessons
• Nathan Kraft's Virtual Filing Cabinet
• Sam Shah's Virtual Filing Cabinet
• Mathalicious Lessons
• Math Munch
• Yummy Math Lessons
• Desmos Classroom Activities
• Graphing Stories
• Math Mistakes
• 101 Questions
• Would You Rather
• Open Middle
• Which One Doesn't Belong?
• Fractions Talk