+0  
 
0
22
1
avatar

Two persons A and B have a total sum of $320.  First,  A  gives  20%  of what he has to B.  Then  B  gives  20%  of what he now has back to  A .  If the ratio of the final amount of person  B to the final amount of person  A  is 1.5, what was the initial amount that person  A  had?

 Oct 15, 2020
 #1
avatar
0

Let the initial amount of A = A
Let the initial amount of B = B

A + B = 320
A =320 - B
B =320 - A

A =[320 - B] - 0.20[320 - B]
B =[320 - A] +0.20[320 - B]

B =[320 - A] + 0.20[320 - B] - 0.20 {[320 - A] + 0.20[320 - B]} = -0.8 (A + 0.2 B - 384.)

A =[320 - B] - 0.20[320 - B] + 0.20 {[320 - A] + 0.20[320 - B]} = 0.04 (-5 A - 21 B + 8320)

A = 100 dollars - A started with
B = 220 dollars - B started with

 
 Oct 15, 2020

38 Online Users

avatar