SOLUTION: At a basketball game, Jerdan scored a total of 33 points on 10 field goals (worth either 2 or 3 points) and 7 free throws (worth 1 point each). How many of the field goals were wo

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Question 327358: At a basketball game, Jerdan scored a total of 33 points on 10 field goals (worth either 2 or 3 points) and 7 free throws (worth 1 point each). How many of the field goals were worth 3 points?
a).8 b).7 c).6 d).5 e).4
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let him score x field goals with 3 points
10-x is the goals he scored with 2 points
free throws 7 with 1 point
total points = 33
..
3x+2(10-x)+7=33
3x+20-2x+7=33
x+27=33
add -27 to both sides
x+27-27=33-27
x=6 goals with 3 points