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anonymous
 5 years ago
In a recent season, Monique Currie of the Duke Blue Devils scored 635 points. She made a total of 356 shots, including 3 point field goals, 2point field goals, and 1point free throws. She made 76 more 2point field goals than free throws and 77 more free throws than 3point field goals. Find the number of each type of shot she made.
I Appreciate if someone can help.
anonymous
 5 years ago
In a recent season, Monique Currie of the Duke Blue Devils scored 635 points. She made a total of 356 shots, including 3 point field goals, 2point field goals, and 1point free throws. She made 76 more 2point field goals than free throws and 77 more free throws than 3point field goals. Find the number of each type of shot she made. I Appreciate if someone can help.

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Can u wait a while as I'll b back after 10 minutes??

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Let the number of 3pt shots = x then the number of points gained for x number of shots becomes 3*x=3x number of free throws is 77 more than 3pt shots i.e. x+77 then the number of points gained for x+77 shots is =1(x+77) =x+77 number of 2pts shots is 76 more than number of free shots i.e. (x+77) +76= x+153 then the number of points gained for x=153 shots is= 2(x+153) = 2x + 306 as per given question, in total she scored 635 points So 3x + (x+77) + (2x+306) = 635 opening the brackets, it becomes 3x + x + 77 + 2x + 306 = 635 6x + 383 = 635 6x= 635  383 6x = 252 x = 252 / 6 x = 42 now, number of 3 pt shots = x = 42 number of free throws = x+77 = 42 + 77 = 119 Number of 2 pt shots = x + 153 = 195 VERIFICATION Total number of shots is 356 no. of 3 pt shots is 42 number of free throws is 119 number of 2pt shots is 195 as per question 42 + 119 + 195 = 356 356=356 hence verified
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