2 thoughts on “Blog week #6”

1. Shira, the hard one doesn’t have just one answer.

   [Angry] + [Scared] = [Sneeze]
   [Sneeze]/2 = [Happy]
   [Scared] + [Happy] = 30
   [Angry] = ???

   You’ve got four variables but only three equations. If you work everything out, you get this:

   [Angry] = 3*[Happy]-30
   [Sneeze] = 2*[Happy]
   [Scared] = 30 – [Happy]

   If you want all the numbers to be integers greater than or equal to zero, then [Happy] can be any number between 10 and 30. That’s 21 different solutions.

   If [Happy] = 10 then:

   [Angry] = 0
   [Sneeze] = 20
   [Scared] = 20

   If [Happy] = 20 then:

   [Angry] = 30
   [Sneeze] = 40
   [Scared] = 10

   If [Happy] = 30 then:

   [Angry] = 60
   [Sneeze] = 60
   [Scared] = 0

   Reply

2. The easy one still has multiple answers:

   [Laugh] * [Plain] = [Wink]
   [Wink] * [Plain] = 20

   This reduces to these two equations:

   [Laugh] = 20 / ( [Plain] x [Plain] )

   [Wink] = 20 / [Plain]

   If you want only positive integers, there are two choices.

   [Plain] = 1
   [Laugh] = 20
   [Wink] = 20

   [Plain] = 2
   [Laugh] = 5
   [Wink] = 10

   Either would work.

   Reply