Question

Pietro made 18 baskets during a basketball game.The number of 3 pointers are 3 more than half of the 2 point shots.how many types of each shot did he make.How many total points did he get.

Answer 1

Total points is 23

Explanation:

Given:

Total number of baskets = 18

Let the number of 2 pointer shots be x

Let the number of 3 pointer shots be y

According to the question:

$y = \frac{x}{2} + 3$                  -1

The equation can be formed as:

$\frac{x}{2} + 3 + x = 18$

On solving this equation further we get:

$\frac{x+6+2x}{2} = 18\\\\9x = 36\\\\x = 4$

Putting the value of x = 4 in equation 1

$y = \frac{x}{2}+3\\ \\y = \frac{4}{2} + 3\\\\y = 5$

Points for 2 pointer shots = 4 X 2

                                        = 8

Points for 3 pointer shots = 5 X 3

                                        = 15

Total points = 8 + 15

                  = 23

Therefore, total points is 23