In a class of 100, every boy had 2 girlfriends, but no girl had more than 1 boyfriend. if exactly 13 girls had no boyfriend, then how many students in the class were girls?
the answer is 71 but i dont know how to get 71?

71 girls

Step-by-step explanation:

The class has 100 students.

It consists of 13 girls with no boyfriends, and the rest are "triplets" (B+2G groups)

If we subtract the 13 girls, the triplets must add up to 87 students.

The number of triplets is 87/3 = 29.

29(B + 2G) = 29B + 58G

The triplets consist of 29 boys and 58 girls with boyfriends.

No. of girls = girls with boyfriends + girls with no boyfriend

                   =                58              +                  13

                   = 71

There are 71 girls in the class.

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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