Asked by Anonymous

is my solution right? the 0 in the ratio seems strange

The red lamp brigade patrols the 3600 sectors of the galaxy along with their better known counterparts the Green lantern corps. Each sector has either one corps member or one brigadier. In the first 2400 sectors, the ratio of corps members to brigadiers is 3:1. If there are an equal number of brigadiers and crops members in the galaxy, what is the ratio of corps members to brigadiers in the other sectors?

c=b
c+b=3600
c=b=1800

in the first 2400 sectors there are 3corps:1brigadier
2400/4=600 groups of 3corps+1brigadier
3*600=1800 corps
1*600=600 brigadier

the number of corps is equal to c so there wont be any other corps

we have 1800-600=1200 brigadier left
3600-2400=1200 sector left

the ratio is 0 corp:1200 brigadier
Answered by oobleck
you went the long way around, but got the right answer.
3:1 = 1800:600
That leaves 1200 sectors
600+1200 = 1800
so, 1200 brigadiers and 0 corp
Answered by Anonymous
yeah sorry i'm kinda slow. thank you
Answered by Markoronie
Im kinda confused, what is the ratio of corps members to brigadiers in the other sectors?
Answered by Markoronie
Is it 0:1200?
Answered by Anonymous
Yep
Answered by Hailey
0:1200 is what I got too!
Answered by I have a special 1st name
Is this from the AoPs Introduction to Algebra book? That's where I found it. I got 0:1200 as well!!!
Answered by anonymous
0:1200 is what i got too
but still confused why is it 0 corps????
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