Perry High School

[Rnaut]

At Perry High School, the ratio of students who participate in either the band program or the choral program to students who participate in neither program is 3 to 8. If 220 students attend Perry High School, how many of them do NOT participate in either program?

(A) 40
(B) 60
(C) 100
(D) 160
(E) 180


Source: Princeton ' 2012 edition

I am trying to solve this using MGMAT 2 set matrix method. But looks like I am missing something or misinterpreting the question. Can you please point out my mistake :

----------------- Band----------Not in Band------Total

Choral------------ ? --------- (3/8)X ---------- ?

Not in Choral---(3/8)X ---------- X--------------- (11/8)X

Total -------------------------------------------------220

" ? " means this information is not provided in the question

* Resubmit

[tim]

The 3/8(x) is the sum of (band not choral), (choral not band), and (band and choral). Unless otherwise specified, "or" should be interpreted to be inclusive, and in this case the 3/8(x) refers to all those alternatives together, not each one separately.