SOLUTION: Make a conjecture about the relationship between the original number and the final number in the following process. Pick a number Multiply the number by 5 Add 10 to the pro

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Make a conjecture about the relationship between the original number and the final number in the following process. Pick a number Multiply the number by 5 Add 10 to the pro      Log On


   



Question 201935: Make a conjecture about the relationship between the original number and the final number in the following process.
Pick a number
Multiply the number by 5
Add 10 to the product
Divide the sum by 5
Subtract 1 from the quotient

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Applying a little basic algebra to this problem will show that the final number is one more than the original number.
Let n = the original number, then...
%28%285%2An%2B10%29%2F5%29-1+=+%28cross%285%29%2A%28n%2B2%29%2Fcross%285%29%29-1=n%2B2-1+=+highlight%28n%2B1%29