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anna, Brianna and Caleb share some money in the ratio 5:3:7

Caleb receives £9.60 more than Brianna

what was the total sum of the money that was shared? 

 Jan 11, 2019
 #1
avatar+103695 
+1

Why did you post this same question 6 times?

 Jan 11, 2019
 #2
avatar+18965 
+1

5 parts + 3 parts + 7 parts = 15 parts

 

caleb has 4 more parts than brianna and those 4 parts = 9.60

 

Set up a ratio

 

9.60/4parts = x/15 parts

15 (9.60/4) = x = total =   L  36.00 total

 Jan 11, 2019
 #3
avatar+103131 
+1

Thanks, EP.....!!!

 

Here's another way to see this :

 

Let A be the total amount received

 

Brianna's portion + 9.60  = Caleb's portion

 

Brianna portion = (3/15)A =  (1/5)A

Caleb's portion = (7/15)A

 

So

 

(1/5)A + 9.60 =  (7/15)A       

 

9.60  =  [ 7/15 -  3/15]A

 

9.60 = [ 4/15]A     multily both sides by 15/4

 

9.60 (15/4) = A = $36

 

 

cool cool cool

 Jan 11, 2019

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