+1443 On a rainy day, every kid at Margo's school brings a raincoat, an umbrella, or both. 8% of the kids bring both. The total number of kids with umbrellas is twice the total number of kids with raincoats.
What percent of the kids bring ONLY an umbrella?
+129852 Let's see......
Let the number of students be arbitrarily set at 100
Let the number of kids who bring only an umbrella = U and let the number who bring only a raincoat = R
So
U + 8 + R = 100 ⇒ U + R = 92 ⇒ U = 92 - R (1)
And the number that bring umbrellas is twice that of those who bring raincoats..so....
(U + 8) = 2 (R + 8) (2) sub (1) into (2)
(92 - R + 8) = 2(R + 8)
100 - R = 2R + 16
84 = 3R
28% = R ⇒ % who bring only a raincoat
So....92 - 28 = 64% bring only an umbrella
Here's a Venn diagram :
