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14 students in a class are girls 8 of them wear blue shirts 2 of the students are neither girls or wear blue shirts. If 5 students are girls who wear blue shirts how many students total are there in class

CalifJim · Accepted Answer

apple park 494 14 students in a class are girls 8 of them wear blue shirts 2 of the students are neither girls or wear blue shirts. If 5 students are girls who wear blue shirts how many students total are there in class

You haven't stated the riddle accurately. The phrase 8 of them wear blue shirts suggests that 8 girls wear blue shirts. That's not possible because later you say that 5 girls wear blue shirts.

This is better:

14 students are girls. 8 students wear blue shirts. 2 students are neither girls nor do they wear blue shirts. If 5 students are girls who wear blue shirts, how many students are there in the class?

(For the chart below, G = is a girl; NG = is not a girl; B = wears a blue shirt; NB = does not wear a blue shirt.)

To solve the riddle you need to find the number of students in each of these four categories and add all four numbers together:

a) G and B
b) G and NB
c) NG and B
d) NG and NB

2 students are neither girls nor do they wear blue shirts tells you the total for Category d).
5 students are girls who wear blue shirts tells you the total for Category a).
14 students are girls tells you that Categories a) and b) must add to 14.
8 students wear blue shirts tells you that Categories a) and c) must add to 8.

CJ

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