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?
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
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