Question

Help with a word problem please. "During a season, a football team scored a total of 168 points on touchdowns, extra points, and field goals. A touchdown is worth 6 points, an extra point is worth 1, and a field goal is worth 3. The team had a total of 48 scoring plays and scored twice as many touchdowns as field goals. Write a system to represent the teams scoring during the season, let x=touchdowns, y= extra points, and z=field goals." I need help getting the system for this problem then I can solve the rest, thanks :3

Answer 1

Points from touchdowns + Pts from extra pts + Pts from field goals = 168

Answer 2

What's an expression for "Points from touchdowns"?

Answer 3

Points from touchdowns....that's just 6x
points from extra pts and points from field goals give us similar expressions.
So what equation can we write _______ + ______ + ________ = 168

Answer 4

6x + y + 3z = 168
x = 2z

I am just not sure what to do with the 48 plays

Answer 5

Okay I get that for the first equation, but I need a system, what other 2 equations can I find in that word problem? I'm not sure what to do with the 48 either

Answer 6

x + y + z = 48

Answer 7

oh....I get it now

Answer 8

no coefficients?

Answer 9

6x + y + 3z = 168
x = 2z
x + y + z = 48

Answer 10

Do yo understand where the equations come from?

Answer 11

Yeah I do, thank you. I was confused from the word problem. Thanks guys for the help :D

Answer 12

give BangkokGarrett a medal....he deserves it