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Zielflug [23.3K]
3 years ago
11

Tony was Challenged to a half-court shooting competition. For every half-court shot that he makes, he will earn 20 points. For e

ach half-court shot he misses, he will lose 5 points. After 20 half- court shots, Tony has zero points. How many half-court shots he make? How many half-court shots did he miss?
Mathematics
1 answer:
Mkey [24]3 years ago
6 0

Answer:

Tony make 4 half-court shots and misses 16 half-court shots.

Step-by-step explanation:

Given:

Points earned for every successful, half-court shots = 20

Points deducted for missing the shots = 5 or -5

Total number of shots in the game = 20

Final points earned by Tony = 0

According to the question:

Let the number of successful half-court shot be x

And the number of shots missed be 20-x

So,

In terms of points we can re-write it as:

⇒ 20(x)-5(20-x) =0

⇒ 20x-100+5x=0

⇒ 25x-100=0

⇒ 25x-100+100=100

⇒ 25x=100

⇒ \frac{25x}{25} =\frac{100}{25}

⇒ x=\frac{100}{25}

⇒ x=4

Tony make 'x' shots that is 4 and the number of shot he missed is (20-x) =(20-4)=16

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