Question

Quentin was challenged to a half- court shooting competition. He will earn 20 points for every shot made and lose 5 points for every shot missed. Quentin has zero points. How many shots did he make

Answer 1

Quentin made a total of 4 shots

Explanation:

The complete question is as follows;

Quentin was challenged to a half-court shooting completion. For every half-court shot he makes, he will earn 20 points. For each half-court shot he misses, he will lose five points. After 20 half-court shots, Quentin has zero points. How many half-court shots did he make?

Now let's answer;

Let the number of shot he makes be x and the number of shot he misses be y

For every shot made, we have +20, for every shot missed, we have -5

Firstly we know that adding both numbers would give 20.

Mathematically;

x + y = 20 (i)

Now, we add the number of points he made to the number of points he missed to give a total of 0

Mathematically, that would be;

+20x -5y = 0 (ii)

from i, y = 20-x

Substitute this in ii

20x -5(20-x) = 0

20x - 100 + 5x = 0

25x = 100

x = 100/25

x = 4

This means that he made 4 shots