A group of friends were voting for their favorite song: four-ninths chose song A, one-fifth of the remaining friends chose song B, and the rest chose song C. If there were eighteen friends in all, how many chose song C?

Question

anonymous · Answer

@mr.mangle can you help

anonymous · Answer

A + B + C=18

A = (4/9)18

B = (1/5) (18-A)

C= 18-A-B

anonymous · Answer

@texaschic101 can you help me

texaschic101 · Answer

ok...there is 18 friends

4/9 chose song A
4/9(18) = 72/9 = 8 chose song A

1/5 of remaining friends chose song B
so 1/5 of 18 - 8 = 1/5 of 10 = 1/5(10) = 10/5 = 2 chose song B

the rest chose song C
18 - 8 - 2 = 10 - 2 = 8 chose song C

any questions ?

anonymous · Answer

No Question But thank you so so much @texaschic101

texaschic101 · Answer

no problem :)