SOLUTION: During the 2014 season, a football team scored a total of 168 points. They had a total of 48 scoring plays (touchdowns, field goals, extra points). They had twice as many touchdown

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Question 1054150: During the 2014 season, a football team scored a total of 168 points. They had a total of 48 scoring plays (touchdowns, field goals, extra points). They had twice as many touchdowns as field goals. A touchdown is worth 6 points, a field goal is worth 3 points, and an extra point is worth 1 point. Write a system of equations and solv it to find how many of each scoring play the team had.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.T%2BF%2BX=48
2.T=2F
3.6T%2B3F%2BX=168
Substituting into eq. 1 and 3,
2F%2BF%2BX=48
4.3F%2BX=48
.
.
6%282F%29%2B3F%2BX=168
12F%2B3F%2BX=168
5.15F%2BX=168
Subtracting eq. 4 from eq. 5,
15F%2BX-3F-X=168-48
12F=120
F=10
So then,
T=2%2810%29
T=20
and
3%2810%29%2BX=48
30%2BX=48
X=18