Problema Solution
nate kaeding, the place kicker for the San Diego Chargers, has scored 120 so far this season. He has scored all his points on 1-point extra point kicks and 3-point field goals. He has made 12 more extra point kicks than field goals. How many of each kick has he made?
Answer provided by our tutors
let
x = the number of 1-point extra point kicks
y = the number of 3-point field goals
Nate Kaeding, the place kicker for the San Diego Chargers, has scored 120 so far this season
x + 3y = 120
He has made 12 more extra point kicks than field goals
x = 12 + y
by solving the system of equations
x + 3y = 120
x = 12 + y
we find
x = 39 kicks
y = 27 field goals
click here to see the step by step solution of the system of equations
Nate Kaeding scored 39 1-point extra point kicks and 27 3-point field goals.