The Jo Short or Jo Tall Puzzle with Sample Solutions
1. Jo Short and Jo Tall
The figure below is called Jo Short. Chris used large round buttons to measure Jo Short and found Jo Short was four buttons. Then Chris measured Jo Tall using the same procedure and found Jo Tall was six buttons.
Jo Short
Student sample answers
Chris
1. I figured that Jo Tall is half as tall as Jo Short, so I took half of Jo Short's height in clips and added it on to his height in clips and came up with my answer.
Fiona
1. I figured that a paper clip was approximately one and one-half buttons so two more buttons would probably be about three more clips, or six clips tall.
Fran
1. I took the relationship of clips to buttons on Jo Short and the unknown clips to buttons of Jo Tall and found the unkown algebraically.
Dee
1. Jo Tall is 1.5 times the height of Jo Short as measured with buttons. So if the measurement procedures were the same it would be 1.5 times Jo Shor's height with any measurement unit. Assuming the measurement procedures were identical, Jo Tall's height in clips would be 1.5 * 6 = 9 clips.
Trav
1. The ratio was 2:3 so using algebra givesn you 2/3 = 6/x = 9
Joe
1. If he is two buttons taller I guess he is two clips taller or 8 clips.
Sara
1. He is two times as high as Jo Short or 8 clips.
Barbie
1. I figured the buttons were about the same size as the clips so 8 clips.
Chou
1. Four buttons or six clips (or two pieces more than buttons), so Jo Tall should be two clips more than buttons.
Daniella
1. Four buttons reach the top of Jo Short's head. Jo Tall is six buttons tall. Six clips Jo Short. Jo Tall is eight clips tall. Clips are about one inch long and buttons are probably the same.