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? Explain your solution in complete sentences.
+130085 Imagine, for convenience sake, that there are 100 children at the school
So 8 have both
We have this
Number Total = Total Number Umbrellas +Total Number Raincoats - Number Both
Let x be the number with raincoats.....so 2x = number with umbrellas
So we have
100 = 2x + x - 8 rearrange as
108 = 3x divide both sides by 3
36 = x
And the number with umbrellas = 2(36) = 72
But 8 of these have both....
So....the number with only umbrellas is 72 - 8 = 64 = 64/ 100 = 64%
Here's a Venn Diagram
