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of the 800 participants in a marathon, 120 are running to raise money for a cause. How many participants out of 100 are running for a cause?

 Oct 13, 2018
 #1
avatar+72 
+3

Let's start by making a proportion 120/800=x/100, we can simplify 120/800 into 15/100. By doing this 15/100 = x/100. This makes it really easy for us, so there are 15 people running for the cause out of 100.

 Oct 13, 2018
 #2
avatar+343 
+2

800 -> 120

100 -> x    

 

800/100 = 120/x 

8 = 120/x

x = 120/8

x= 15 

15 of 100 run for a cause

Or 15% run for a cause! 

I hope I helped you!

 Oct 13, 2018
 #3
avatar+997 
+4

Okay...

 

Are we trying to solve this problem using proportions? Because if so, here is the answer...

 

\(800 : 120 = 100 : x\),

 

\(100(120) = 800x\),

 

\(800x = 12000\)

 

\(x = 15\).

 

So, if this question is using proportions to find the number of participants our of 100, the answer would be \(\boxed {15}\).

 Oct 13, 2018

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