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?

x − t h e n u mb er o f f i e l d g o a l s y − t h e n u mb er o f f o u l s h o t s x + y = 72 x − 6 = y x + x − 6 = 72 2 x = 72 + 6 2 x = 78 x = 2 78 ​ = 39 ​ y = 39 − 6 y = 33 ​

Answered by mariamikayla | 2024-06-24

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

Answered by makar | 2024-06-24

The team made 20 foul shots. This was determined by setting up equations based on the points scored and the relationship between field goals and foul shots. By solving these equations, we found the number of field goals and foul shots made by the team.
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Answered by mariamikayla | 2024-10-14