A football team scored 176 points during a 3-game series from touchdowns (6pts each), extra points (1pt each), field goals (3pts each), safeties (2pts each), and two-point conversions (2pts each). After the games, the coach reflected on the fact that half their touchdowns resulted in 2pt conversions, the other in extra points from their kicker. The assistant coach remarked that they made two less field goals than touch downs and that they had half as many safeties as field goals. How many touchdowns, extra points,field goals, safeties, and two-point conversions did they make? The team made Number field goals, Number touchdowns, Number safeties, and Number extra point attempts, Number two-point conversions. (Note: In football, for each touchdown, a team may attempt an extra point, or try for a two-point conversion)
A football team scored 176 points during a 3-game series from touchdowns (6pts each), extra points (1pt each), field goals (3pts each), safeties (2pts each), and two-point conversions (2pts each). After the games, the coach reflected on the fact that half their touchdowns resulted in 2pt conversions, the other in extra points from their kicker. The assistant coach remarked that they made two less field goals than touch downs and that they had half as many safeties as field goals. How many touchdowns, extra points,field goals, safeties, and two-point conversions did they make? The team made Number field goals, Number touchdowns, Number safeties, and Number extra point attempts, Number two-point conversions. (Note: In football, for each touchdown, a team may attempt an extra point, or try for a two-point conversion)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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
Transcribed Image Text:A football team scored 176 points during a 3-game series from touchdowns (6pts each), extra
points (1pt each), field goals (3pts each), safeties (2pts each), and two-point conversions (2pts
each).
After the games, the coach reflected on the fact that half their touchdowns resulted in 2pt
conversions, the other in extra points from their kicker. The assistant coach remarked that
they made two less field goals than touch downs and that they had half as many safeties as
field goals.
How many touchdowns, extra points,field goals, safeties, and two-point conversions did they
make?
The team made Number
field goals, Number
touchdowns, Number
safeties, and Number
extra point attempts, Number
two-point conversions.
(Note: In football, for each touchdown, a team may attempt an extra point, or try for a two-point
conversion)
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