Eastside Golden Eagles scored 60 points on a combi:nation of tWo-polnt shots and three-point shots. If theymade a total of 27 shots. how many of each kind ofshot was made”?

mattgondek4

mattgondek4

Answered question

2021-03-02

Eastside Golden Eagles scored 60 points on a combi: nation of two-polnt shots and three-point shots. If they made a total of 27 shots. how many of each kind of shot was made”?

Answer & Explanation

grbavit

grbavit

Skilled2021-03-03Added 109 answers

suppose that
number of 2 point shots is N2
number of 3 points shots is N3
thus
N2+N3=27(given)
so
N2=27N3(1)
scored point of 2 point shots = 2 N2
scored point of 3 point shots = 3 N3
thus
2N2+3N3=60(2)(given)
compensate by N2 = 27 - N3 in ( 2 )
2(27N3)+3N3=60
542N3+3N3=60
54+N3=60(add54 to both sides)
N3=6054=6
compensate in ( 1 ) by N3=6
N2+6=27(add6 to both sides)
N2=276=21
thus
N2=21andN3=6
answer :
number of two - point shots = 21 shots.
number of three - point shots = 6 shots.

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