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.

Guest Dec 11, 2018

edited by
Guest
Dec 11, 2018

#3**+1 **

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

CPhill Dec 12, 2018