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[heywhatsup]

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i dont know why i keep having trouble with questions like these can anyone help out with this one 🙁

Two committees are formed with seven people on one committee and eight on the other. if three people are in both groups, how many people belong to only one group?
a. 7
b. 9
c. 12
d. 8
e. 6

 

[allstardentist]

15-3=12 -> C

 

[heywhatsup]

15-3=12 -> C

unfortunately, the ans key says the ans is B) 9.
how could that be???

 

[ernest1284]

hey, i think 12 was wrong because, you are supposed to subtract 3 twice since, those 3 people are in both of the groups....... so 7+8= 15 - 3 = 12 - 3 = 9

you could also find this out by taking 7-3= 4 and 8-3 = 5..... since they only want the number of people in just one group: 4+5 = 9

 

[seanpae]

unfortunately, the ans key says the ans is B) 9.
how could that be???

(4 (3) 5)

I am not so sure how to explain this without circling the groups, but here is my explanation. Three people are in both group A and B, therefore if you place 3 in the middle, place 4 on right and 5 on left, group A will be 3+4=7 and group B will be 3+5=8. Now just add single individuals from each groups 4+5=9

 

[allstardentist]

yeahhhhh
my mistake its 9.. i havent done these kinds of problem in a while

 

[dat_student]

...
you could also find this out by taking 7-3= 4 and 8-3 = 5..... since they only want the number of people in just one group: 4+5 = 9

👍

 

[keibee82]

15 - 6 = 9

15 ppl total - 3 from each group = 9

 

[heywhatsup]

thanks everyone!