Linda is playing a game. On each turn that she takes, she can earn 2 points or 3 points. She has taken 16 turns and has earned a total of 34 points. On how many turns has Linda earned 2 points?

Linda earned 2 points on 14 turns.

Step-by-step explanation:

Given that Linda has played 16 turns and has obtained 34 points, taking into account that in each turn she can obtain 2 or 3 points, to determine the number of turns in which she obtained 2 points, the following table must be performed:

-If in 16 turns she obtained 2 points, the total points will be 32

-If in 15 turns she obtained 2 points and in 1 turn she obtained 3 points, the total points will be 33

-If in 14 turns she obtained 2 points and in 2 turns she obtained 3 points, the total of points will be 34

Therefore, Linda scored 2 points in 14 of the 16 turns played.