SOLUTION: last season, Jake and Jerome scored a total of 16 touchdowns.Jerome scored one more than twice the number of Jakes touch downs. How many did each score?

Algebra ->  Equations -> SOLUTION: last season, Jake and Jerome scored a total of 16 touchdowns.Jerome scored one more than twice the number of Jakes touch downs. How many did each score?       Log On


   



Question 373358: last season, Jake and Jerome scored a total of 16 touchdowns.Jerome scored one more than twice the number of Jakes touch downs. How many did each score?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
jake + jerome = 16,
jerome = 2(jake)+1.
By substituting the bottom equation into the top equation, we get
jake + 2(jake) + 1 = 16, or
3(jake) = 15,
jake = 5, # of touchdowns of jake.
jerome = 2(jake) + 1 = 11, # of touchdowns of jerome.