Answers:
- 5 two-pointers
- 11 three-pointers
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Step-by-step explanation:
x = number of two-pointers made
2x+1 = number of three-pointers made
This is because of the fact that she made one more than twice as many three-pointers than two-pointers.
In other words,
number of three pointers = 2*(number of two pointers) + 1
number of three pointers = 2x + 1
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If she made x two-pointers, then she gets 2x points from just those made shots.
If Nikki made 2x+1 three-pointers, then she gets 3(2x+1) = 6x+3 points from just the stuff beyond the arc.
In total, she earns (2x)+(6x+3) = 8x+3 points from both types of shots.
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Set this equal to the stated total 43 points and solve for x.
8x+3 = 43
8x = 43-3
8x = 40
x = 40/8
x = 5
Nikki made 5 two-pointers and 2x+1 = 2*5+1 = 11 three-pointers
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Check:
A = points from two-pointers only = 2*5 = 10 points
B = points from three-pointers only = 3*11 = 33 points
A+B = total points = 10+33 = 43 points
The answer has been confirmed.