Question

A basketball player scored 14 times during one game. She scored a total of 18 points, two for each two-point shot and one for each free throw. How many two-points shots did she make? How many free throws?

Answer 1

4 two-pointers and 10 free throws

Explanation:

18 - 14 = 4

4 two-pointers = 8

10 free throws = 10 points

Answer 2

i. 4 two-point shots

ii. 10 free throws

Explanation:

Number of times scored = 14

total points made = 18

let her two-point shot be represented by x, and her free throw by y.

So that;

x + y = 14 .......... 1

But, two points for each two-point shot and one point for each free throw;

2x + y = 18 ......... 2

Subtract equation 2 from 1

2x - x + y - y = 18 - 14

x = 4

substitute the value of x in equation 1

4 + y = 14

y = 14 - 4

y = 10

x= 4, y = 10

Thus, she made 4 two-point shots, and 10 free throws.