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Aaron had 3/5 as much money as Brent at first. After receiving $12 each, the ratio of Aaron's money to Brent's money is 3:4. How much money did Brent have at first?

 Jun 22, 2022
 #1
avatar+124525 
+1

A =  (3/5)B     

 

A + 12  :  B + 12   =   3 : 4

 

(3/5)B + 12  :  B + 12  =  3 :  4

 

[(3/5)B + 12 ]           3

___________  =    ___               cross-multiply

    [ B + 12 ]              4

 

 

4  [  (3/5)B + 12 ] =  3 [ B + 12 ]

 

(12/5)B + 48  =  3B + 36

 

48 - 36  =  3B  - (12/5)B

 

12   =  (3/5)B

 

12 (5/3)  = B  =  $20  =  what  Brent had at first

 

cool cool cool

 Jun 22, 2022

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