Question

In hoopball,a Field goal is worth 2 Points and a foul Shot is worth 1 Point. Suppose a Team scored 72 Points and made 6 More Field Goals than foul shots.How many foul shots did The Team make?

Answer 1

let field goal = 2 points
foul shot = 1 point
let x = amount of times a foul shot was made
let 2x + 6(2) = amount of field gaols made
(x) + (2x + 6(2)) = 72
x + 2x + 12 = 72
3x = 60
x =20
20 = # of foul shots made
2(20) +12 = 52
52 = # of field goals made

Answer 2

`x-the \ number \ of \ field \ goals \\ y-the \ number \ of \ foul \ shots \\\\ x+y=72 \\\\ x-6=y \\\\\\\ x+x-6=72 \\\\ 2x=72+6 \\\\ 2x=78 \\\\ \boxed{x=(78)/(2)=39} \\\\ y=39-6 \\\\ \boxed{y=33}`