A group of boy scouts and girls scouts is going on a rafting trip. 80% of the scouts arrived with signed permission slips. If 40% of the scouts were boy scouts and 75% of the boy scouts arrived with signed permission slips, then what percentage of the girl scouts arrived with signed permission slips? Round to the nearest percent.
Choices
A) 79
B) 81
C) 82
D) 83
E) 85
40% were boy scouts so 60% (100-40=60) were girl scouts.   # of boy scouts with permission slips signed + # of girl scouts with permission slips signed = total # with permission slip signed   (75% of 40% of the total going) + (?% of 60% of the total going) = 80% of the total going   We can let the "total going" = 100 arbitrarily since we only care about the percent (of girl scouts w/ permission signed)   .75*.40*100 + x*.60*100 = .80*100   30 + x*60 = 80   60x=50   x=50/60   x=.833333   converting this to a percent, we have 83%   83
<result>D</result>
A group of boy scouts and girls scouts is going on a rafting trip. 80% of the scouts arrived with signed permission slips. If 40% of the scouts were boy scouts and 75% of the boy scouts arrived with signed permission slips, then what percentage of the girl scouts arrived with signed permission slips? Round to the nearest percent.