SOLUTION: Together, Katya and Mimi have 480 pennies in their piggy banks. After Katya lost ½ of her pennies and Mimi lost 2/3 of her pennies, they both had an equal number of pennies left. H

Algebra ->  Finance -> SOLUTION: Together, Katya and Mimi have 480 pennies in their piggy banks. After Katya lost ½ of her pennies and Mimi lost 2/3 of her pennies, they both had an equal number of pennies left. H      Log On


   

Question 1100453: Together, Katya and Mimi have 480 pennies in their piggy banks. After Katya lost ½ of her pennies and Mimi lost 2/3 of her pennies, they both had an equal number of pennies left. How many pennies did they lose altogether?
PLEASE HELP ASAP!
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
K + M = 480,      (1)

%281%2F2%29%2AK = %281%2F3%29%2AM     (2)   (after their losses)

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K = %282%2F3%29%2AM.     Substitute it into eq(1). You will get


%282%2F3%29%2AM + M = 480  ====>  %285%2F3%29%2AM = 480  ====>  M = %28480%2A3%29%2F5 = 288.


Then K = %282%2F3%29%2AM = %282%2F3%29%2A288 = 192.


Check.  a)  288 + 192 = 480   ! Correct !

        b)  %281%2F2%29%2AK = %281%2F2%29%2A192 = 96;   

            %281%2F3%29%2AM = %281%2F3%29%2A288 = 96.  ! Correct !


Answer.  K = 192,  M = 288.