Stan Karpinski is the kicker for the New York Giants. As a kicker, he can score two ways. A field goal is worth 3 points and the extra point after the touchdown is worth 1 point. Stan has scored 30 points with 16 kicks. How many of his kicks were field goals, and how many were extra points?
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doesnt this work? see:
\[x+y=16\ and\ 3x+y=30\]
here x is the no. of kicks yielding field goal.
and you know y!
Solving we get x=7, y=9 i.e. the no. of field goal kicks is 7 and the no. of touchdown kicks are 9.