SOLUTION: You have just tuned into a football game. Your team is winning 27-18. The announcer says they have scored five times on field goals and touchdowns and haven't missed a point after

Algebra ->  Systems-of-equations -> SOLUTION: You have just tuned into a football game. Your team is winning 27-18. The announcer says they have scored five times on field goals and touchdowns and haven't missed a point after       Log On


   

Question 182691: You have just tuned into a football game. Your team is winning 27-18. The announcer says they have scored five times on field goals and touchdowns and haven't missed a point after touchdown yet. How many touch downs and field goals has your team made?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
You have just tuned into a football game. Your team is winning 27-18. The announcer says they have scored five times on field goals and touchdowns and haven't missed a point after touchdown yet. How many touch downs and field goals has your team made?
:
let t and f be the number of touchdowns and field goals, respectively
:
t+f=5.........eq 1
7t+3f=27......eq 2
:
rewrite eq 1 to t=5-f and plug that into eq 2
:
7(5-f)+3f=27
:
35-7f+3f=27
:
-4f=-8
:
highlight%28f=2%29field goals made
:
highlight%28t=5-f=5-2=3%29touchdowns scored