Question

PLEASE HELP, REWARD OF 100 POINTS! thanks :3

The total saving of Alex and Benjamin was 2000 U$D. Alex and Benjamin each donated [tex]\frac{1}{4}[\tex] and [tex]\frac{1}{5}[\tex] of their savings to an old folks home. The total amount donated by them was 440 U$D. What are the balances of Alex's and Benjamin's savings now? ​

Answer 1

The total saving of Alex (a) and Benjamin (b) was 2000$.

=> a + b = 2000 (1)

Alex donates 1/4 of saving, Benjamin donates 1/5 of saving.

Total donation: 440$

=> (1/4)a + (1/5)b = 440 (2)

From (1) and (2):

=>(1/4)(2000 - b) +(1/5)b = 440

=> 500 - (1/4)b + (1/5)b = 440

=> (1/20)b = 60

=> b = 20 x 60 = 1200$ (current balance of Benjamin)

=> a = 2000 - b = 800$ (current balance of Alex)

Hope this helps!

:)